Submit Search
Upload
Maths Olympiad - Try this prime-factor question
•
Download as PPSX, PDF
•
0 likes
•
1,257 views
K
Kathleen Ong
Follow
Maths Olympiad - Try this prime-factor question
Read less
Read more
Education
Report
Share
Report
Share
1 of 2
Download now
Recommended
Quadratic equations ppt
Quadratic equations ppt
Doreen Mhizha
Chapter 5 Direct Variation
Chapter 5 Direct Variation
Iinternational Program School
Exponent 2
Exponent 2
Dreams4school
GST Summary Book by Vivek Gaba Sir (1).pdf
GST Summary Book by Vivek Gaba Sir (1).pdf
SachinArora814287
Evaluating algebraic expressions
Evaluating algebraic expressions
Rommel Gabieta
【材料力学】内力 (I-04 2019)
【材料力学】内力 (I-04 2019)
Kazuhiro Suga
MATH-7-Q3-WEEK-5 4th quarter.doc
MATH-7-Q3-WEEK-5 4th quarter.doc
JOANNAMAEDAVID
Factoring Quadratic Trinomials
Factoring Quadratic Trinomials
Free Math Powerpoints
Recommended
Quadratic equations ppt
Quadratic equations ppt
Doreen Mhizha
Chapter 5 Direct Variation
Chapter 5 Direct Variation
Iinternational Program School
Exponent 2
Exponent 2
Dreams4school
GST Summary Book by Vivek Gaba Sir (1).pdf
GST Summary Book by Vivek Gaba Sir (1).pdf
SachinArora814287
Evaluating algebraic expressions
Evaluating algebraic expressions
Rommel Gabieta
【材料力学】内力 (I-04 2019)
【材料力学】内力 (I-04 2019)
Kazuhiro Suga
MATH-7-Q3-WEEK-5 4th quarter.doc
MATH-7-Q3-WEEK-5 4th quarter.doc
JOANNAMAEDAVID
Factoring Quadratic Trinomials
Factoring Quadratic Trinomials
Free Math Powerpoints
3.8.2 Ratio and Proportion
3.8.2 Ratio and Proportion
smiller5
Rules of Exponents
Rules of Exponents
Kelly Scallion
Indices and laws of logarithms
Indices and laws of logarithms
JJkedst
Algebraic Expression Maths Lesson Plan in detail
Algebraic Expression Maths Lesson Plan in detail
Manik Bhola
E Filing
E Filing
bkmondal
Geometry unit 6.6
Geometry unit 6.6
Mark Ryder
Factorisation 140814105901-phpapp02
Factorisation 140814105901-phpapp02
Paras Swarnkar
Exponents and power
Exponents and power
Nidhi Singh
Factorising algebraic expressions
Factorising algebraic expressions
MrGarvey
4. solving inequalities
4. solving inequalities
MedhaKetkar
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
SN Panigrahi, PMP
E way bill under GST
E way bill under GST
mmdaga
Permutation and combinations
Permutation and combinations
Rushabh Vora
Factors And Prime Factorization
Factors And Prime Factorization
Lindsey Brown
Quadratics
Quadratics
Dods Dodong
Union and Intersection of Sets
Union and Intersection of Sets
ayesha nigar
Relevance of double taxation avoidance agreement and its impact
Relevance of double taxation avoidance agreement and its impact
Amudha Mony
Chapter 1 linear equations and straight lines
Chapter 1 linear equations and straight lines
sarkissk
Quadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptx
pandavlogsbyJM
Solving Systems - Elimination NOTES
Solving Systems - Elimination NOTES
swartzje
Weekly Dose 10 - Maths Olympiad Practice
Weekly Dose 10 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 9 - Maths Olympiad Practice
Weekly Dose 9 - Maths Olympiad Practice
Kathleen Ong
More Related Content
What's hot
3.8.2 Ratio and Proportion
3.8.2 Ratio and Proportion
smiller5
Rules of Exponents
Rules of Exponents
Kelly Scallion
Indices and laws of logarithms
Indices and laws of logarithms
JJkedst
Algebraic Expression Maths Lesson Plan in detail
Algebraic Expression Maths Lesson Plan in detail
Manik Bhola
E Filing
E Filing
bkmondal
Geometry unit 6.6
Geometry unit 6.6
Mark Ryder
Factorisation 140814105901-phpapp02
Factorisation 140814105901-phpapp02
Paras Swarnkar
Exponents and power
Exponents and power
Nidhi Singh
Factorising algebraic expressions
Factorising algebraic expressions
MrGarvey
4. solving inequalities
4. solving inequalities
MedhaKetkar
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
SN Panigrahi, PMP
E way bill under GST
E way bill under GST
mmdaga
Permutation and combinations
Permutation and combinations
Rushabh Vora
Factors And Prime Factorization
Factors And Prime Factorization
Lindsey Brown
Quadratics
Quadratics
Dods Dodong
Union and Intersection of Sets
Union and Intersection of Sets
ayesha nigar
Relevance of double taxation avoidance agreement and its impact
Relevance of double taxation avoidance agreement and its impact
Amudha Mony
Chapter 1 linear equations and straight lines
Chapter 1 linear equations and straight lines
sarkissk
Quadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptx
pandavlogsbyJM
Solving Systems - Elimination NOTES
Solving Systems - Elimination NOTES
swartzje
What's hot
(20)
3.8.2 Ratio and Proportion
3.8.2 Ratio and Proportion
Rules of Exponents
Rules of Exponents
Indices and laws of logarithms
Indices and laws of logarithms
Algebraic Expression Maths Lesson Plan in detail
Algebraic Expression Maths Lesson Plan in detail
E Filing
E Filing
Geometry unit 6.6
Geometry unit 6.6
Factorisation 140814105901-phpapp02
Factorisation 140814105901-phpapp02
Exponents and power
Exponents and power
Factorising algebraic expressions
Factorising algebraic expressions
4. solving inequalities
4. solving inequalities
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
# Annual Returns – GSTR 9 & 9A + Audit GSTR 9C # By SN Panigrahi
E way bill under GST
E way bill under GST
Permutation and combinations
Permutation and combinations
Factors And Prime Factorization
Factors And Prime Factorization
Quadratics
Quadratics
Union and Intersection of Sets
Union and Intersection of Sets
Relevance of double taxation avoidance agreement and its impact
Relevance of double taxation avoidance agreement and its impact
Chapter 1 linear equations and straight lines
Chapter 1 linear equations and straight lines
Quadratic Equations in One Variables.pptx
Quadratic Equations in One Variables.pptx
Solving Systems - Elimination NOTES
Solving Systems - Elimination NOTES
Viewers also liked
Weekly Dose 10 - Maths Olympiad Practice
Weekly Dose 10 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 9 - Maths Olympiad Practice
Weekly Dose 9 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 11 - Maths Olympiad Practice
Weekly Dose 11 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 8 - Maths Olympiad Practice
Weekly Dose 8 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 13 - Maths Olympiad Practice
Weekly Dose 13 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 15 - Maths Olympiad Practice
Weekly Dose 15 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 12 - Maths Olympiad Practice
Weekly Dose 12 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 14 - Maths Olympiad Practice
Weekly Dose 14 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 16 - Maths Olympiad Practice
Weekly Dose 16 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 18 - Maths Olympiad Practice
Weekly Dose 18 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 17 - Maths Olympiad Practice
Weekly Dose 17 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 19 - Maths Olympiad Practice
Weekly Dose 19 - Maths Olympiad Practice
Kathleen Ong
奥数抽屉原理练习
奥数抽屉原理练习
Kathleen Ong
北大奥数少年 容斥原理(二)练习第八题
北大奥数少年 容斥原理(二)练习第八题
Kathleen Ong
北大奥数少年 括号与分配律
北大奥数少年 括号与分配律
Kathleen Ong
Weekly Dose 22 - Maths Olympiad Practice - Area
Weekly Dose 22 - Maths Olympiad Practice - Area
Kathleen Ong
Maths Olympiad - Venn Diagram questions
Maths Olympiad - Venn Diagram questions
Kathleen Ong
奥林匹克数学课本 小学2年级
奥林匹克数学课本 小学2年级
Kathleen Ong
Weekly Dose 20 - Maths Olympiad Practice
Weekly Dose 20 - Maths Olympiad Practice
Kathleen Ong
Weekly Dose 21 - Maths Olympiad Practice
Weekly Dose 21 - Maths Olympiad Practice
Kathleen Ong
Viewers also liked
(20)
Weekly Dose 10 - Maths Olympiad Practice
Weekly Dose 10 - Maths Olympiad Practice
Weekly Dose 9 - Maths Olympiad Practice
Weekly Dose 9 - Maths Olympiad Practice
Weekly Dose 11 - Maths Olympiad Practice
Weekly Dose 11 - Maths Olympiad Practice
Weekly Dose 8 - Maths Olympiad Practice
Weekly Dose 8 - Maths Olympiad Practice
Weekly Dose 13 - Maths Olympiad Practice
Weekly Dose 13 - Maths Olympiad Practice
Weekly Dose 15 - Maths Olympiad Practice
Weekly Dose 15 - Maths Olympiad Practice
Weekly Dose 12 - Maths Olympiad Practice
Weekly Dose 12 - Maths Olympiad Practice
Weekly Dose 14 - Maths Olympiad Practice
Weekly Dose 14 - Maths Olympiad Practice
Weekly Dose 16 - Maths Olympiad Practice
Weekly Dose 16 - Maths Olympiad Practice
Weekly Dose 18 - Maths Olympiad Practice
Weekly Dose 18 - Maths Olympiad Practice
Weekly Dose 17 - Maths Olympiad Practice
Weekly Dose 17 - Maths Olympiad Practice
Weekly Dose 19 - Maths Olympiad Practice
Weekly Dose 19 - Maths Olympiad Practice
奥数抽屉原理练习
奥数抽屉原理练习
北大奥数少年 容斥原理(二)练习第八题
北大奥数少年 容斥原理(二)练习第八题
北大奥数少年 括号与分配律
北大奥数少年 括号与分配律
Weekly Dose 22 - Maths Olympiad Practice - Area
Weekly Dose 22 - Maths Olympiad Practice - Area
Maths Olympiad - Venn Diagram questions
Maths Olympiad - Venn Diagram questions
奥林匹克数学课本 小学2年级
奥林匹克数学课本 小学2年级
Weekly Dose 20 - Maths Olympiad Practice
Weekly Dose 20 - Maths Olympiad Practice
Weekly Dose 21 - Maths Olympiad Practice
Weekly Dose 21 - Maths Olympiad Practice
More from Kathleen Ong
初中幾何定理簡介
初中幾何定理簡介
Kathleen Ong
六年级奥数经典题难题集粹
六年级奥数经典题难题集粹
Kathleen Ong
Dizangjing
Dizangjing
Kathleen Ong
Maths Olympiad - Bases other than Ten
Maths Olympiad - Bases other than Ten
Kathleen Ong
奥林匹克数学课本 小学6年级
奥林匹克数学课本 小学6年级
Kathleen Ong
奥林匹克数学课本 小学5年级
奥林匹克数学课本 小学5年级
Kathleen Ong
奥林匹克数学课本 小学4年级
奥林匹克数学课本 小学4年级
Kathleen Ong
奥林匹克数学课本 小学3年级
奥林匹克数学课本 小学3年级
Kathleen Ong
奥林匹克数学课本 小学1年级
奥林匹克数学课本 小学1年级
Kathleen Ong
Singapore model-composition-primary-6
Singapore model-composition-primary-6
Kathleen Ong
Singapore model-composition-primary-5
Singapore model-composition-primary-5
Kathleen Ong
Singapore model-composition-primary-4
Singapore model-composition-primary-4
Kathleen Ong
Singapore model-composition-primary-3
Singapore model-composition-primary-3
Kathleen Ong
Peribahasa 260
Peribahasa 260
Kathleen Ong
81 BM tatabahasa UPSR
81 BM tatabahasa UPSR
Kathleen Ong
Kesalahan tatabahasa 2
Kesalahan tatabahasa 2
Kathleen Ong
Kesalahan tatabahasa 1
Kesalahan tatabahasa 1
Kathleen Ong
Series and parallel circuits
Series and parallel circuits
Kathleen Ong
Kamus kata-ganda
Kamus kata-ganda
Kathleen Ong
More from Kathleen Ong
(19)
初中幾何定理簡介
初中幾何定理簡介
六年级奥数经典题难题集粹
六年级奥数经典题难题集粹
Dizangjing
Dizangjing
Maths Olympiad - Bases other than Ten
Maths Olympiad - Bases other than Ten
奥林匹克数学课本 小学6年级
奥林匹克数学课本 小学6年级
奥林匹克数学课本 小学5年级
奥林匹克数学课本 小学5年级
奥林匹克数学课本 小学4年级
奥林匹克数学课本 小学4年级
奥林匹克数学课本 小学3年级
奥林匹克数学课本 小学3年级
奥林匹克数学课本 小学1年级
奥林匹克数学课本 小学1年级
Singapore model-composition-primary-6
Singapore model-composition-primary-6
Singapore model-composition-primary-5
Singapore model-composition-primary-5
Singapore model-composition-primary-4
Singapore model-composition-primary-4
Singapore model-composition-primary-3
Singapore model-composition-primary-3
Peribahasa 260
Peribahasa 260
81 BM tatabahasa UPSR
81 BM tatabahasa UPSR
Kesalahan tatabahasa 2
Kesalahan tatabahasa 2
Kesalahan tatabahasa 1
Kesalahan tatabahasa 1
Series and parallel circuits
Series and parallel circuits
Kamus kata-ganda
Kamus kata-ganda
Recently uploaded
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
Nguyen Thanh Tu Collection
Concurrency Control in Database Management system
Concurrency Control in Database Management system
Christalin Nelson
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
Conquiztadors- the Quiz Society of Sri Venkateswara College
Visit to a blind student's school🧑🦯🧑🦯(community medicine)
Visit to a blind student's school🧑🦯🧑🦯(community medicine)
lakshayb543
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Celine George
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdf
Vanessa Camilleri
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
Conquiztadors- the Quiz Society of Sri Venkateswara College
Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4
JOYLYNSAMANIEGO
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
Postal Advocate Inc.
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
TechSoup
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
JoshuaGantuangco2
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)
Mark Reed
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and Film
Stan Meyer
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
Anupkumar Sharma
The Contemporary World: The Globalization of World Politics
The Contemporary World: The Globalization of World Politics
Rommel Regala
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17
Celine George
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHS
Mae Pangan
Presentation Activity 2. Unit 3 transv.pptx
Presentation Activity 2. Unit 3 transv.pptx
Rosabel UA
Millenials and Fillennials (Ethical Challenge and Responses).pptx
Millenials and Fillennials (Ethical Challenge and Responses).pptx
JanEmmanBrigoli
Dust Of Snow By Robert Frost Class-X English CBSE
Dust Of Snow By Robert Frost Class-X English CBSE
aurabinda banchhor
Recently uploaded
(20)
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
HỌC TỐT TIẾNG ANH 11 THEO CHƯƠNG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIẾT - CẢ NĂ...
Concurrency Control in Database Management system
Concurrency Control in Database Management system
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
Visit to a blind student's school🧑🦯🧑🦯(community medicine)
Visit to a blind student's school🧑🦯🧑🦯(community medicine)
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
ICS2208 Lecture6 Notes for SL spaces.pdf
ICS2208 Lecture6 Notes for SL spaces.pdf
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
Daily Lesson Plan in Mathematics Quarter 4
Daily Lesson Plan in Mathematics Quarter 4
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)
Oppenheimer Film Discussion for Philosophy and Film
Oppenheimer Film Discussion for Philosophy and Film
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
The Contemporary World: The Globalization of World Politics
The Contemporary World: The Globalization of World Politics
How to Add Barcode on PDF Report in Odoo 17
How to Add Barcode on PDF Report in Odoo 17
Textual Evidence in Reading and Writing of SHS
Textual Evidence in Reading and Writing of SHS
Presentation Activity 2. Unit 3 transv.pptx
Presentation Activity 2. Unit 3 transv.pptx
Millenials and Fillennials (Ethical Challenge and Responses).pptx
Millenials and Fillennials (Ethical Challenge and Responses).pptx
Dust Of Snow By Robert Frost Class-X English CBSE
Dust Of Snow By Robert Frost Class-X English CBSE
Maths Olympiad - Try this prime-factor question
1.
Find the number
of prime factors of 2 + 22 + 23 + … + 215 + 216 which are distinct.
2.
Find the number
of prime factors of 2 + 22 + 23 + … + 215 + 216 which are distinct. Solution: We have 2 + 22 + 23 + 24 + 25 + 26 + 27 + … + 215 + 216 = 2 × (1 + 2 + 22 + 23 + 24 + 25 + 26 + … + 214 + 215 ) = 2 × ((1 + 2) + 22 × 1 + 2 + 24 × (1 + 2) + 26 × (1 + 2) + … + 214 × (1 + 2)) = 2 × 3 × (1 + 22 + 24 + 26 + 28 + 210 + 212 + 214) = 2 × 3 × ( 1 + 22 + 24 × 1 + 22 + 28 × 1 + 22 + 212 × 1 + 22 ) = 2 × 3 × 5 × (1 + 24 + 28 + 212 ) = 2 × 3 × 5 × ( 1 + 24 + 28 1 + 24 ) = 2 × 3 × 5 × 17 × (1 + 28) = 2 × 3 × 5 × 17 × 257 Answer: 𝑡ℎ𝑒 𝑔𝑖𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟 ℎ𝑎𝑠 5 𝑑𝑖𝑠𝑡𝑖𝑛𝑐𝑡 𝑝𝑟𝑖𝑚𝑒 𝑓𝑎𝑐𝑡𝑜𝑟𝑠
Download now