Q: What are the prime factors of the number 15,400,695?

 A: 3, 5, 37, 27749

Why are those the prime factors of the number 15,400,695?

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 15,400,695

15,400,695
Factor Arrows
35,133,565
Factor Arrows
51,026,713
Factor Arrows
3727,749

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, 5, 37, 27749

We can check our work by multiplying all of the prime factors together: 3 x 5 x 37 x 27,749 = 15,400,695

This can also be written as 31 x 51 x 371 x 27,7491 = 15,400,695

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


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