Question

A number is written with the following factorization: 22 × 3 × 54 × 8 × 112. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.

Answer 1

2^9×3^4×7×11

Explanation:

11*2*3* 3*3 * 3*2 * 2*2*2 * 4*4*7.

This is not a prime factorization because not all the numbers are prime.

22 × 3 × 54 × 8 × 112

break down the numbers until they are prime

11*2 * 3 * 9*6 * 4*2 * 16*7

11*2*3* 3*3 * 3*2 * 2*2*2 * 4*4*7

11*2*3* 3*3 * 3*2 * 2*2*2 * 2*2*2*2*7

put them in order from smallest to largest

2*2*2*2*2*2*2*2*2 *4*4*4*4 *7*11

you can put them in exponent form

2^9×3^4×7×11