Q: What are the prime factors of the number 2,304?

 A: 2, 3

Why are those the prime factors of the number 2,304?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 2,304

2,304
Factor Arrows
21,152
Factor Arrows
2576
Factor Arrows
2288
Factor Arrows
2144
Factor Arrows
272
Factor Arrows
236
Factor Arrows
218
Factor Arrows
29
Factor Arrows
33

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 2,304

This can also be written as 28 x 32 = 2,304

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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