Prime Factorization & GCF

Front

What is prime factorization?

Back

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

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What are prime numbers?

Back

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

Front

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2² × 3.

Front

How do you find the greatest common factor (GCF) of two numbers?

Back

To find the GCF, list the prime factors of each number and multiply the lowest powers of common prime factors.

Front

What is the GCF of 28 and 49?

Back

The GCF of 28 and 49 is 7.

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What is a factor tree?

Back

A factor tree is a diagram that shows the prime factorization of a number by breaking it down into its factors.

Front

What is the prime factorization of 48 using a factor tree?

Back

The prime factorization of 48 is 3 × 2⁴.

Front

What is the prime factorization of 144?

Back

The prime factorization of 144 is 2⁴ × 3².

Front

What is the prime factorization of 8?

Back

The prime factorization of 8 is 2³.

Front

What is the prime factorization of 30?

Back

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