Question

The prime factor decomposition of 25,704?

Answer 1

25 = 5*5 = 5^2
704 = 2*2*2*2*2*2*11 = 2^6 * 11

Explanation:

Answer 2

`\sf 25,704 = 2* 2 * 2 * 3* 3 * * 3 * 7* 17`

Explanation:

Definition:

Prime factor decomposition is the process of writing a composite number as a product of its prime factors.

Prime factor decomposition of 25,704:

`\sf 25,704 & = 2^3 * 3^3 * 7^1 * 17 \\& = 2* 2 * 2 * 3* 3 * * 3 * 7* 17`

This means that 25,704 can be divided by 2 three times, by 3 three times, and by 7 one time, and by 17 one time.

Therefore, Prime factor decomposition of 25,704 is:

`\sf 25,704 = 2* 2 * 2 * 3* 3 * * 3* 7* 17`