Q: What are the prime factors of the number 116,272,630?

 A: 2, 5, 31, 157, 2389

Why are those the prime factors of the number 116,272,630?

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 116,272,630

116,272,630
Factor Arrows
258,136,315
Factor Arrows
511,627,263
Factor Arrows
31375,073
Factor Arrows
1572,389

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, 31, 157, 2389

We can check our work by multiplying all of the prime factors together: 2 x 5 x 31 x 157 x 2,389 = 116,272,630

This can also be written as 21 x 51 x 311 x 1571 x 2,3891 = 116,272,630

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


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