Q: What are the prime factors of the number 62,813,710?

 A: 2, 5, 29, 167, 1297

Why are those the prime factors of the number 62,813,710?

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 62,813,710

62,813,710
Factor Arrows
231,406,855
Factor Arrows
56,281,371
Factor Arrows
29216,599
Factor Arrows
1671,297

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, 5, 29, 167, 1297

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 167 x 1,297 = 62,813,710

This can also be written as 21 x 51 x 291 x 1671 x 1,2971 = 62,813,710

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


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