Q: What are the prime factors of the number 17,694,816?

 A: 2, 3, 184321

Why are those the prime factors of the number 17,694,816?

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 17,694,816

17,694,816
Factor Arrows
28,847,408
Factor Arrows
24,423,704
Factor Arrows
22,211,852
Factor Arrows
21,105,926
Factor Arrows
2552,963
Factor Arrows
3184,321

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, 184321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 184,321 = 17,694,816

This can also be written as 25 x 31 x 184,3211 = 17,694,816

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


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