Question

He prime factorization of a number is 2 cubed times 3 squared times 5. Which is a true statement about the factors of the number? Fifteen is a factor of the number because both 3 and 5 are prime factors. Fifteen is not a factor of the number because 15 is odd and the number is even. Sixteen is a factor for the number because 2 cubed = 8 and 16 is divisible by 8. Sixteen is not a factor of the number because the exponent of 2 is not even.

Answer 1

15 and 35

Explanation:

Answer 2

Fifteen is a factor of the number because both 3 and 5 are prime factors.

Explanation:

The computation is shown below:

The cube of 2 is

= 2^3

= 8

The square of 3 is

= 3^2

= 9

Now if we multiplied the 3 digits that it would be

= 8 × 9 × 5

= 360

As we know that the 15 is a factor of 360

Therefore the first option is correct

i.e.

Fifteen is a factor of the number because both 3 and 5 are prime factors.

And all the other options are incorrect