Q: What are the prime factors of the number 15,970,575?

 A: 3, 5, 73, 2917

Why are those the prime factors of the number 15,970,575?

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 15,970,575

15,970,575
Factor Arrows
35,323,525
Factor Arrows
51,064,705
Factor Arrows
5212,941
Factor Arrows
732,917

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, 73, 2917

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 73 x 2,917 = 15,970,575

This can also be written as 31 x 52 x 731 x 2,9171 = 15,970,575

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


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