Q: What are the prime factors of the number 17,426,712?

 A: 2, 3, 31, 59, 397

Why are those the prime factors of the number 17,426,712?

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 17,426,712

17,426,712
Factor Arrows
28,713,356
Factor Arrows
24,356,678
Factor Arrows
22,178,339
Factor Arrows
3726,113
Factor Arrows
3123,423
Factor Arrows
59397

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, 31, 59, 397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 31 x 59 x 397 = 17,426,712

This can also be written as 23 x 31 x 311 x 591 x 3971 = 17,426,712

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


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