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Write factor pairs for each number. Use divisibility tests to help you! 40 72 57 1 x 40 2 x 20 4 x 10 5x8 1 x 72 2 x 36 3 x 24 4 x 18 6 x 12 8x9 1 x 57 3 x 19 Write factor pairs for each number. Use divisibility tests to help you! 12 20 37 1 x 12 2x6 3x4 1 x 20 2 x 10 4x5 1 x 37 PRIME PRIME NUMBERS 1 A whole number with exactly 2 factors, 1 and itself 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 4 x 60 6 2 x 2 x 2 x 3 24 = 2 x 2 x 2 x 3 3 24 = 2 x 3 6 x 10 2 x 3x 2 x 5 60 = 2 x 2 x 3 x 5 2 60 = 2 x 3 x 5 You can use prime factorizations to find the GCF or to simplify fractions. 24 4 x 60 6 6 2 x 2 x 2 x 3 24 60 2x2x2x3 2x2x3x5 x 10 2 x 3x 2 x 5 2 5 GCF 2 x 2 x 3 = 12 Make a prime factor tree for each number to find the GCF. 36 6 x 54 6 2 x 3 x 2 x 3 36 = 2 x 2 x 3 x 3 54 = 2 x 3 x 3 x 3 6 x 9 2 x 3x 3 x 3 GCF 2 x 3 x 3 = 18 Make prime factor trees for each number. Use the prime factorizations to find the GCF and to simplify the fraction. 40 4 x 56 10 2 2 x 2 x 2 x 5 x 28 4 x 7 2x 2 40 56 = 2x2x2x5 2x2x2x7 = 5 7 GCF 2x2x2=8 List the factors of 15. 15 1 x 15 3x5 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. 12, 24, 36, 48, 60 7 28 = 48 12 16 16, 32, 48, 64, 80 5 15 = 48 16 24 24, 48, 72, 96, 120 12 Use the LCM to get a common denominator. 12 12, 24, 36, 48, 60 16 16, 32, 48, 64, 80 5 15 = 48 16 24 24, 48, 72, 96, 120 9 18 = 48 24 Use the LCM to get a common denominator. 12 12, 24, 36, 48, 60 16 16, 32, 48, 64, 80 24 24, 48, 72, 96, 120 5 10 = 24 12 11 = 11 24 24 List the factors of 32. 32 1 x 32 2 x 16 4x8 Make a prime factor tree for 32. 32 4 2 x 2 x 32 8 2 2 x 4 x 16 4 2 x 2 x 4 2x 2x 2x 2 32 = 2 x 2 x 2 x 2 x 2 32 = 25 Use the prime factorization to simplify 12 32 12 2 x 32 6 2 x 16 2 x 3 4 x 4 2x 2x 2x 2 12 = 2 x 2 x 3 32 = 2 x 2 x 2 x 2 x 2 3 8 What is the GCF? 4 List factor pairs to find the GCF. 18 30 1 x 18 2x9 3x6 1 x 30 2 x 15 3 x 10 5x6 Use the GCF to simplify: 18 30 GCF = 6 ÷6 ÷6 3 10 Write the expressions using exponents. 2 2x3x3x5x5= 2x3 x5 5 x 5 x 5 x 7 x 7 = 53 x 72 2 Find the LCM. 8 10 8, 16, 24, 32, 40 10, 20, 30, 40 3 15 = 40 8 4 16 = 40 10