Q: What are the prime factors of the number 17,671,716?

 A: 2, 3, 163627

Why are those the prime factors of the number 17,671,716?

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 17,671,716

17,671,716
Factor Arrows
28,835,858
Factor Arrows
24,417,929
Factor Arrows
31,472,643
Factor Arrows
3490,881
Factor Arrows
3163,627

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, 163627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 163,627 = 17,671,716

This can also be written as 22 x 33 x 163,6271 = 17,671,716

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


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