Q: What are the prime factors of the number 8,704,672?

 A: 2, 23, 11827

Why are those the prime factors of the number 8,704,672?

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 8,704,672

8,704,672
Factor Arrows
24,352,336
Factor Arrows
22,176,168
Factor Arrows
21,088,084
Factor Arrows
2544,042
Factor Arrows
2272,021
Factor Arrows
2311,827

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, 23, 11827

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 23 x 11,827 = 8,704,672

This can also be written as 25 x 231 x 11,8271 = 8,704,672

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


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