Q: What are the prime factors of the number 220,331,115?

 A: 3, 5, 37, 132331

Why are those the prime factors of the number 220,331,115?

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 220,331,115

220,331,115
Factor Arrows
373,443,705
Factor Arrows
324,481,235
Factor Arrows
54,896,247
Factor Arrows
37132,331

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, 132331

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 37 x 132,331 = 220,331,115

This can also be written as 32 x 51 x 371 x 132,3311 = 220,331,115

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


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