3. ““Divisible by” means:Divisible by” means:
If you divide one number by another, the result isIf you divide one number by another, the result is
a whole number WITHOUT a remainder.a whole number WITHOUT a remainder.
Examples:Examples:
1212 ÷ 6 = 2 No remainder÷ 6 = 2 No remainder
15 ÷ 5 = 3 No remainder15 ÷ 5 = 3 No remainder
4. Divisibility RuleDivisibility Rule
22
A number is divisible by 2 if theA number is divisible by 2 if the
last digit is even. (0, 2, 4, 6, 8)last digit is even. (0, 2, 4, 6, 8)
Examples:Examples: 7788 34734700
ReviewReview EvenEven numbers:numbers: ghostevenghosteven
8. Divisibility RuleDivisibility Rule
33
A number is divisible by three if the sumA number is divisible by three if the sum
of the digits is divisible by 3.of the digits is divisible by 3.
Examples:Examples:
75 7 + 5 = 12 1275 7 + 5 = 12 12 ÷÷ 33 = 4 No Remainder= 4 No Remainder
369369 3 +6 + 9 = 18 18 ÷3 +6 + 9 = 18 18 ÷ 33 = 6= 6 No RemainderNo Remainder
12. Divisibility RuleDivisibility Rule
44
A number is divisible by 4 if the last twoA number is divisible by 4 if the last two
digits are divisible by 4.digits are divisible by 4.
Examples:Examples:
13132020 2020 ÷ 4 = 5÷ 4 = 5
667272 72 ÷ 4 = 1872 ÷ 4 = 18
13. NowNow YouYou
Try:Try:Which numberWhich number IS NOTIS NOT divisible by 4?divisible by 4?
564564 41014101 188188
Need More Practice: Numbers Divisible by 4
16. Divisibility RuleDivisibility Rule
55
A number is divisible by 5 if the lastA number is divisible by 5 if the last
digit is a 0 or 5.digit is a 0 or 5.
Examples:Examples:
616155 ends in a 5ends in a 5
14814800 ends on a 0ends on a 0
17. Now You Try:Now You Try:
Which numberWhich number IS NOTIS NOT divisible by 5?divisible by 5?
98209820 779779 560560
Need More Practice: Numbers Divisible by 5
18. The number ends in aThe number ends in a
zero or a five.zero or a five.
20. Divisibility RuleDivisibility Rule
66A number is divisible by 6 when it is divisible byA number is divisible by 6 when it is divisible by
22 ANDAND 3. (prime numbers)3. (prime numbers)
Examples:Examples:
408408 ends in an even number (2 rule)ends in an even number (2 rule)
sum of the digits is divisible by 3sum of the digits is divisible by 3
Review prime and composite numbers:Review prime and composite numbers: Prime and Composite NumbersPrime and Composite Numbers
21. Now You Try:Now You Try:
Which numberWhich number IS NOTIS NOT divisible by 6?divisible by 6?
87008700 523523 76027602
Need more practice?Need more practice? Numbers Divisible by 6Numbers Divisible by 6
23. This number is divisibleThis number is divisible
by 2 and 3.by 2 and 3.
24. Divisibility RuleDivisibility Rule
99
A number is divisible by 9 if the sum ofA number is divisible by 9 if the sum of
the digits is divisible by 9.the digits is divisible by 9.
Examples:Examples:
963963 9 + 6 + 3 = 18 189 + 6 + 3 = 18 18 ÷ 9 = 2÷ 9 = 2
54455445 5 + 4 + 4 + 5 =18 18 ÷ 9 =25 + 4 + 4 + 5 =18 18 ÷ 9 =2
25. Now You Try:Now You Try:
Find the number thatFind the number that IS NOTIS NOT divisible bydivisible by
9.9.
98739873 636636 55415541
Need More Practice:Need More Practice: Numbers Divisible by 9 and 10Numbers Divisible by 9 and 10
26. The sum of the digits isThe sum of the digits is
divisible by 9.divisible by 9.
28. Divisibility RuleDivisibility Rule
1010
A number is divisible by 10 is it ends in aA number is divisible by 10 is it ends in a
ZERO.ZERO.
Example:Example:
76376300 ends in a zeroends in a zero
414100 ends in a zeroends in a zero
29. Now You Try:Now You Try:
Find the number thatFind the number that ISIS NOTNOT divisibledivisible byby
ten.ten.
56,92056,920 75377537 870870
32. Congratulations!Congratulations!
Complete two of the three assignments.Complete two of the three assignments.
You may complete them on yourYou may complete them on your
computers but print out your answercomputers but print out your answer
sheet.sheet.
Assignment 1.docAssignment 1.doc
chart.docchart.doc
assignment3.docassignment3.doc
33. Now that you haveNow that you have
completed your twocompleted your two
assignments, feel free toassignments, feel free to
go to the following sites.go to the following sites.
THEY ARE SOOOOOTHEY ARE SOOOOO
MUCH FUN!!!!!!MUCH FUN!!!!!!
FractionsFractions
vectorkids -divisibility rulesvectorkids -divisibility rules
Gamequarium Division GamesGamequarium Division Games