Q: What are the prime factors of the number 15,101,379?

 A: 3, 467, 3593

Why are those the prime factors of the number 15,101,379?

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 15,101,379

15,101,379
Factor Arrows
35,033,793
Factor Arrows
31,677,931
Factor Arrows
4673,593

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, 467, 3593

We can check our work by multiplying all of the prime factors together: 3 x 3 x 467 x 3,593 = 15,101,379

This can also be written as 32 x 4671 x 3,5931 = 15,101,379

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


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