Q: What are the prime factors of the number 10,060,713?

 A: 3, 13, 28663

Why are those the prime factors of the number 10,060,713?

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 10,060,713

10,060,713
Factor Arrows
33,353,571
Factor Arrows
31,117,857
Factor Arrows
3372,619
Factor Arrows
1328,663

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:

3, 13, 28663

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 28,663 = 10,060,713

This can also be written as 33 x 131 x 28,6631 = 10,060,713

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


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