Question

Question

The number 100 expressed as a product of its prime factors is(1 point)
Responses

22 × 25
2 squared times 25

22 × 52
2 squared times 5 squared

102
10 squared

4 × 52

Answer 1

The number 100 can be expressed as a product of its prime factors using the following steps:

1. Break down 100:
   \( 100 = 10 \times 10 \)
   \( 10 = 2 \times 5 \)

Therefore:
\( 100 = (2 \times 5) \times (2 \times 5) = 2^2 \times 5^2 \)

So, the correct expression of 100 as a product of its prime factors is:

\( 2^2 \times 5^2 \).

The corresponding option is:
2 squared times 5 squared.