Q: What are the prime factors of the number 10,726,710?

 A: 2, 3, 5, 337, 1061

Why are those the prime factors of the number 10,726,710?

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 10,726,710

10,726,710
Factor Arrows
25,363,355
Factor Arrows
31,787,785
Factor Arrows
5357,557
Factor Arrows
3371,061

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, 337, 1061

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 337 x 1,061 = 10,726,710

This can also be written as 21 x 31 x 51 x 3371 x 1,0611 = 10,726,710

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


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