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Published byEdmund Peters Modified about 1 year ago

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Prime Factorization Factor Trees

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Find the prime factorization of 30 Draw two “branches” off of the number. 30

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Find the prime factorization of 30 Write two numbers that are factors of 30. * Remember: factors are the numbers multiplied together 30 6 5

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Find the prime factorization of 30 Determine if the first number is prime or composite. (if don’t know definitions, click on the word.)prime composite 30 65

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Prime The only factors of the integer are itself and one. EX: 3 --- 3*1 EX: 23 --- 23 * 1

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Composite There are many factors for the integer. EX: 24 --- 1*24; 2*12; 3*8; 4*6 EX: 32 --- 1*32; 2*16; 4*8

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Find the prime factorization of 30 Notice the 6 is NOT PRIME. It is composite. So, Draw two “branches” off of the number and write two factors of six at the end of each branch. 30 65 32

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Find the prime factorization of 30 The number 5 is prime, so there is no need to draw branches from it. Just circle the number. 30 65 32

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Find the prime factorization of 30 The number 2 is prime, so there is no need to draw branches from it. Just circle the number. 30 65 32

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Find the prime factorization of 30 The number 3 is prime, so there is no need to draw branches from it. Just circle the number. 30 65 32

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Find the prime factorization of 30 Now that all numbers are prime, write the prime factorization of 30.prime factorization 2 * 3 *5 30 65 32

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Prime Factorization The list of prime factors in numerical order as products of each other.

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Find the prime factorization of 81 Draw two “branches” off of the number. 81

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Find the prime factorization of 81 Write two numbers that are factors of 81. 81 9 9

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Find the prime factorization of 81 Determine if the first number is prime or composite. 81 99

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Find the prime factorization of 81 Notice the 9 is NOT PRIME. It is composite. So, Draw two “branches” off of the number and write two factors of nine at the end of each branch. 81 99 33

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Find the prime factorization of 81 The number 3 is prime, circle the numbers. 81 99 33

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Find the prime factorization of 81 The number 9 is not prime, so we need to draw branches of the number nine. 81 99 3333

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Find the prime factorization of 81 Now that all numbers are prime, write the prime factorization. 3 * 3 * 3 * 3 or 3 4 81 99 3333

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Find the prime factorization. 1)34 2)75 3)28 4)120 5)225 6)16

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