Q: What are the prime factors of the number 716,272,110?

 A: 2, 3, 5, 613, 12983

Why are those the prime factors of the number 716,272,110?

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 716,272,110

716,272,110
Factor Arrows
2358,136,055
Factor Arrows
3119,378,685
Factor Arrows
339,792,895
Factor Arrows
57,958,579
Factor Arrows
61312,983

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, 5, 613, 12983

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 613 x 12,983 = 716,272,110

This can also be written as 21 x 32 x 51 x 6131 x 12,9831 = 716,272,110

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


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