Q: What are the prime factors of the number 215,542,108?

 A: 2, 23, 101863

Why are those the prime factors of the number 215,542,108?

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 215,542,108

215,542,108
Factor Arrows
2107,771,054
Factor Arrows
253,885,527
Factor Arrows
232,342,849
Factor Arrows
23101,863

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, 23, 101863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 23 x 101,863 = 215,542,108

This can also be written as 22 x 232 x 101,8631 = 215,542,108

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


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