Q: What are the prime factors of the number 10,372,830?

 A: 2, 3, 5, 13, 26597

Why are those the prime factors of the number 10,372,830?

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 10,372,830

10,372,830
Factor Arrows
25,186,415
Factor Arrows
31,728,805
Factor Arrows
5345,761
Factor Arrows
1326,597

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, 13, 26597

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 26,597 = 10,372,830

This can also be written as 21 x 31 x 51 x 131 x 26,5971 = 10,372,830

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


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