Question

Use the factor tree to find the prime factorization of 100.

What is the prime factorization of 100?

A. 2×5

B. 2×2×5×5

C. 2×5×10

D. 10×10

E. 10×2×5

Answer 1

The prime factorization of 100 is found using a factor tree, where 100 is broken down into 10 × 10, and further into 2 × 2 × 5 × 5, which is the answer option B.

Step-by-step explanation:

The prime factorization of 100 can be found using a factor tree. To use the factor tree, break down the number into factors, and continue breaking them down until you reach prime numbers.

First, 100 can be divided evenly by 10, so our first branch of the factor tree is 10 × 10.

However, 10 is not a prime number; it can be broken down further into 2 × 5. So each instance of 10 in our factor tree will be replaced with 2 × 5:

10 × 10 becomes (2 × 5) × (2 × 5).

Now, we can see that the prime factorization of 100 is 2 × 2 × 5 × 5, which corresponds to option B on the multiple-choice list provided.