Write factor pairs for each number. Use divisibility tests to help you! 40 72 57 1 x 40 1 x 72 1 x 57 2 x 20 2 x 36 3 x 19 4 x 10 3 x 24 5 x 8 4 x 18 6.

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Presentation transcript:

Write factor pairs for each number. Use divisibility tests to help you! 40 72 57 1 x 40 1 x 72 1 x 57 2 x 20 2 x 36 3 x 19 4 x 10 3 x 24 5 x 8 4 x 18 6 x 12 8 x 9

Write factor pairs for each number. Use divisibility tests to help you! 12 20 37 1 x 12 1 x 20 1 x 37 2 x 6 2 x 10 PRIME 3 x 4 4 x 5

PRIME NUMBERS A whole number with exactly 2 factors, 1 and itself 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Make a prime factor tree for each number. 24 60 4 x 6 6 x 10 2 x 2 x 2 x 3 2 x 3 x 2 x 5 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 24 = 23 x 3 60 = 22 x 3 x 5

You can use prime factorizations to find the GCF or to simplify fractions. 24 60 4 x 6 6 x 10 2 x 2 x 2 x 3 2 x 3 x 2 x 5 GCF 2 x 2 x 3 = 12 2460 2 2 x 2 x 2 x 3 5 2 x 2 x 3 x 5

Make a prime factor tree for each number to find the GCF. 36 54 6 x 6 6 x 9 2 x 3 x 2 x 3 2 x 3 x 3 x 3 36 = 2 x 2 x 3 x 3 GCF 2 x 3 x 3 = 18 54 = 2 x 3 x 3 x 3

Make prime factor trees for each number Make prime factor trees for each number. Use the prime factorizations to find the GCF and to simplify the fraction. 40 56 4 x 10 2 x 28 2 x 2 x 2 x 5 4 x 7 2 x 2 4056 5 2 x 2 x 2 x 5 = = 7 GCF 2 x 2 x 2 = 8 2 x 2 x 2 x 7

List the factors of 15. 15 1 x 15 3 x 5 List the multiples of 15. 15, 30, 45, 60, 75, …

List the first 5 multiples of each number. 12 12, 24, 36, 48, 60 16 16, 32, 48, 64, 80 24 24, 48, 72, 96, 120

Use the LCM to get a common denominator. 7 12 28 12 12, 24, 36, 48, 60 = 48 5 16 15 16 16, 32, 48, 64, 80 = 48 24 24, 48, 72, 96, 120

Use the LCM to get a common denominator. 12 12, 24, 36, 48, 60 5 16 15 16 16, 32, 48, 64, 80 = 48 9 24 18 24 24, 48, 72, 96, 120 = 48

Use the LCM to get a common denominator. 5 12 10 12 12, 24, 36, 48, 60 = 24 16 16, 32, 48, 64, 80 11 24 11 24 24, 48, 72, 96, 120 = 24

List the factors of 32. 32 1 x 32 2 x 16 4 x 8

Make a prime factor tree for 32. 4 x 8 2 x 16 2 x 2 2 x 4 4 x 4 2 x 2 2 x 2 x 2 x 2 32 = 2 x 2 x 2 x 2 x 2 32 = 25

Use the prime factorization to simplify 12 32 12 32 2 x 6 2 x 16 2 x 3 4 x 4 2 x 2 x 2 x 2 12 = 2 x 2 x 3 3 8 What is the GCF? 32 = 2 x 2 x 2 x 2 x 2 4

List factor pairs to find the GCF. 18 30 1 x 18 1 x 30 GCF = 6 2 x 9 2 x 15 3 x 6 3 x 10 5 x 6 18 30 3 10 Use the GCF to simplify: ÷ 6 ÷ 6

Write the expressions using exponents. 2 x 3 x 3 x 5 x 5 = 2 x 32 x 52 5 x 5 x 5 x 7 x 7 = 53 x 72

Find the LCM. 3 8 15 8 8, 16, 24, 32, 40 = 40 4 10 16 10 10, 20, 30, 40 = 40