prime factorization

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What is prime factorization?

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Prime factorization is the process of expressing a number as the product of its prime factors.

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What are prime numbers?

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Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

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What is the GCF (Greatest Common Factor)?

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The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

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How do you find the GCF using prime factorization?

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1. Find the prime factorization of each number. 2. Identify the common prime factors. 3. Multiply the lowest powers of these common factors.

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Find the GCF of 35 and 63 using prime factorization.

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The prime factorization of 35 is 5 x 7, and for 63 it is 3 x 3 x 7. The GCF is 7.

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Find the GCF of 39 and 26 using prime factorization.

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The prime factorization of 39 is 3 x 13, and for 26 it is 2 x 13. The GCF is 13.

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Find the GCF of 16 and 36 using prime factorization.

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The prime factorization of 16 is 2 x 2 x 2 x 2, and for 36 it is 2 x 2 x 3 x 3. The GCF is 4.

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How can you use GCF to solve real-life problems?

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GCF can be used to determine how to evenly distribute items into groups, such as organizing photos or forming teams.

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If Karen has 30 photos and 48 photos, what is the greatest number of photos she can put on each page?

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The GCF of 30 and 48 is 6 photos.

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In a gym class with 14 girls and 21 boys, what is the greatest number of teams that can be formed?

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The GCF of 14 and 21 is 7 teams.