Factors primes composites
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This document defines and provides examples of factors, prime numbers, composite numbers, and prime factorization. It explains that factors are numbers that divide evenly into another number. Prime numbers have exactly two factors, and composite numbers have more than two factors. Prime factorization is writing a composite number as a product of prime factors. The document provides step-by-step instructions for finding the prime factorization of a number using a factor tree diagram.
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The document defines prime numbers, composite numbers, and prime factorization. It provides examples of prime and composite numbers. It then explains how to perform prime factorization by writing a number as the product of its prime factors using a factor tree method in multiple steps.
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- The zero pattern states that any number multiplied by 0 equals 0.
- The ones pattern states that any number multiplied by 1 equals itself.
- Higher number patterns, like the twos, fives, nines and sixes patterns, provide steps to derive the answer through doubling, halving, adding/subtracting numbers etc. Knowing these patterns makes learning multiplication facts easier.
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The document provides patterns for learning multiplication facts:
- The zero pattern states that any number multiplied by 0 equals 0.
- The ones pattern states that any number multiplied by 1 equals itself.
- Higher number patterns, such as the twos, fives, nines and sixes patterns, provide steps to derive the answer through doubling, halving, adding or relating the numbers. Knowing these patterns makes learning multiplication facts easier.
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The document provides patterns for learning multiplication facts:
- The zero pattern states that any number multiplied by 0 equals 0.
- The ones pattern states that any number multiplied by 1 equals itself.
- Higher number patterns, like the twos, fives, nines and sixes patterns provide steps to derive the answer through doubling, halving, adding/subtracting numbers etc. Learning these patterns makes memorizing multiplication facts easier.
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Factors primes composites
- 1. Factors, Primes & Composite Numbers
- 5. What are the factors? 6 x 7 = 42 7 x 9 = 63 8 x 6 = 48 4 x 9 = 36 6 & 7 7 & 9 8 & 6 4 & 9
- 6. What are the factors? 42 ÷ 7 = 6 63 ÷ 9 = 7 48 ÷ 6 = 8 36 ÷ 9 = 4 7 9 6 9
- 8. Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.
- 10. Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.
- 11. Our Lonely 1 Special Note: One is not a prime nor a composite number. It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors.
- 13. How to Do Prime Factorization Using a Factor Tree 48 Step 1 – Start with a composite number. Step 2 – Write down a multiplication problem that equals this number or any pair of factors of this number. 6 x 8 = 48
- 14. How to Do Prime Factorization Using a Factor Tree Step 3 – Find factors of these factors. 6 x 8 = 48 2 x 3 x 2 x 4 = 48
- 15. How to Do Prime Factorization Using a Factor Tree Step 4 – Find factors of these numbers until all factors are prime numbers. 6 x 8 = 48 2 x 3 x 2 x 4 = 48 2 x 3 x 2 x 2 x 2 = 48
- 16. How to Do Prime Factorization Using a Factor Tree Step 5 – Write the numbers from least to greatest. 6 x 8 = 48 2 x 3 x 2 x 2 x 2 = 48 2 x 2 x 2 x 2 x 3 = 48
- 17. How to Do Prime Factorization Using a Factor Tree Step 6 – Count how many numbers are the same and write exponents for them. 6 x 8 = 48 2 x 3 x 2 x 2 x 2 = 48 2 x 2 x 2 x 2 x 3 = 48 2 x 3 = 48 4
- 18. Prime factor this number 4 2 x 2 2 = 4 2 = 4
- 19. Prime factor this number 6 2 x 3 = 6
- 20. Prime factor this number 8 2 x 4 2 = 8 3 = 8 2 x 2 x 2 = 8
- 21. Prime factor this number 9 3 x 3 = 9 3 = 9 2
- 22. Prime factor this number 10 2 x 5 = 10
- 23. Prime factor this number 12 3 x 4 2 x 3 = 12 2 = 12 3 x 2 x 2 = 12 2 x 2 x 3 = 12
- 24. Prime factor this number 14 2 x 7 = 14
- 25. Prime factor this number 15 3 x 5 = 15
- 26. Prime factor this number 16 4 x 4 2 = 16 4 = 16 2 x 2 x 2 x 2 = 16
- 27. Prime factor this number 18 3 x 6 2 x 3 = 18 2 = 18 3 x 2 x 3 = 18 2 x 3 x 3 = 18
- 28. Prime factor this number 20 4 x 5 2 x 5 = 20 2 = 20 2 x 2 x 5 = 20
- 29. Prime factor this number 21 3 x 7 = 21
- 30. Prime factor this number 22 2 x 11 = 22