Q: What are the prime factors of the number 215,350,555?

 A: 5, 7, 83, 74131

Why are those the prime factors of the number 215,350,555?

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 215,350,555

215,350,555
Factor Arrows
543,070,111
Factor Arrows
76,152,873
Factor Arrows
8374,131

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, 7, 83, 74131

We can check our work by multiplying all of the prime factors together: 5 x 7 x 83 x 74,131 = 215,350,555

This can also be written as 51 x 71 x 831 x 74,1311 = 215,350,555

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


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