Q: What are the prime factors of the number 117,857,150?

 A: 2, 5, 163, 14461

Why are those the prime factors of the number 117,857,150?

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 117,857,150

117,857,150
Factor Arrows
258,928,575
Factor Arrows
511,785,715
Factor Arrows
52,357,143
Factor Arrows
16314,461

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:

2, 5, 163, 14461

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 163 x 14,461 = 117,857,150

This can also be written as 21 x 52 x 1631 x 14,4611 = 117,857,150

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


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