Prime factorization and GCF.

Front

What is prime factorization?

Back

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

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the numbers in a given set without leaving a remainder.

Front

How do you find the GCF using a factor tree?

Back

1. Break down each number into its prime factors using a factor tree. 2. Identify the common prime factors. 3. Multiply the common prime factors to find the GCF.

Front

What are the prime factors of 18?

Back

The prime factors of 18 are 2 and 3 (18 = 2 x 3 x 3 or 2 x 3^2).

Front

What are the prime factors of 24?

Back

The prime factors of 24 are 2 and 3 (24 = 2 x 2 x 2 x 3 or 2^3 x 3).

Front

Find the GCF of 18 and 24 using their prime factors.

Back

The GCF of 18 and 24 is 6 (common prime factors: 2 and 3; 2^1 x 3^1 = 6).

Front

Which pair of numbers has a GCF of 3? 15 and 27, 20 and 30, 45 and 15, 9 and 18.

Back

15 and 27.

Front

Which pair of numbers has a GCF of 8? 8 and 36, 40 and 80, 16 and 56, 24 and 42.

Back

16 and 56.

Front

What is the prime factorization of 8?

Back

The prime factorization of 8 is 2 x 2 x 2 or 2^3.

Front

List the factors of 54.

Back

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54.