Q: What are the prime factors of the number 10,612,413?

 A: 3, 7, 168451

Why are those the prime factors of the number 10,612,413?

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 10,612,413

10,612,413
Factor Arrows
33,537,471
Factor Arrows
31,179,157
Factor Arrows
7168,451

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, 7, 168451

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 168,451 = 10,612,413

This can also be written as 32 x 71 x 168,4511 = 10,612,413

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


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