Q: What are the prime factors of the number 15,416,613?

 A: 3, 79, 21683

Why are those the prime factors of the number 15,416,613?

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 15,416,613

15,416,613
Factor Arrows
35,138,871
Factor Arrows
31,712,957
Factor Arrows
7921,683

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, 79, 21683

We can check our work by multiplying all of the prime factors together: 3 x 3 x 79 x 21,683 = 15,416,613

This can also be written as 32 x 791 x 21,6831 = 15,416,613

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


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