Q: What are the prime factors of the number 15,460,257?

 A: 3, 443, 11633

Why are those the prime factors of the number 15,460,257?

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 15,460,257

15,460,257
Factor Arrows
35,153,419
Factor Arrows
44311,633

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, 443, 11633

We can check our work by multiplying all of the prime factors together: 3 x 443 x 11,633 = 15,460,257

This can also be written as 31 x 4431 x 11,6331 = 15,460,257

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


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