Question

What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4​

Answer 1

1. 2x2x2x3

Explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

`24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2`

`12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2`

`6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2`

`2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2`

Answer 2

1. 2x2x2x3

Explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4 4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4 2x3=6 6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps