Q: What are the prime factors of the number 111,057,875?

 A: 5, 157, 5659

Why are those the prime factors of the number 111,057,875?

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 111,057,875

111,057,875
Factor Arrows
522,211,575
Factor Arrows
54,442,315
Factor Arrows
5888,463
Factor Arrows
1575,659

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:

5, 157, 5659

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 157 x 5,659 = 111,057,875

This can also be written as 53 x 1571 x 5,6591 = 111,057,875

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


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