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 is a prime number?

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A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.

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What is the prime factorization of 12?

Back

The prime factorization of 12 is 2 x 2 x 3.

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What is the prime factorization of 30?

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The prime factorization of 30 is 2 x 3 x 5.

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How do you find the prime factorization of a number?

Back

To find the prime factorization, divide the number by the smallest prime number until you reach 1.

Front

What is the prime factorization of 18?

Back

The prime factorization of 18 is 2 x 3 x 3.

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What is the prime factorization of 50?

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The prime factorization of 50 is 2 x 5 x 5.

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What is the prime factorization of 100?

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The prime factorization of 100 is 2 x 2 x 5 x 5.

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What is the greatest common factor (GCF)?

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

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How do you find the GCF using prime factorization?

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List the prime factors of each number, then multiply the lowest powers of common prime factors.