Question

What number has the prime factorization 2² x 3 x 5² x 7? Show how you found the number.

A. 7,500
B. 5,700
C. 5,702
D. 7,200

Answer 1

The number with the prime factorization 2² x 3 x 5² x 7 is 42,000.

Step-by-step explanation:

The prime factorization of a number is the expression of that number as a product of its prime factors.

To find the number with the prime factorization 2² x 3 x 5² x 7, you simply multiply the primes together.

2² x 3 x 5² x 7 = (2 x 2) x 3 x (5 x 5) x 7 = 4 x 3 x 25 x 7 = 2 x 3 x 7 x 100 = 42,000.

Therefore, the number with the given prime factorization is 42,000.