Q: What are the prime factors of the number 371,531,216?

 A: 2, 7, 3317243

Why are those the prime factors of the number 371,531,216?

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 371,531,216

371,531,216
Factor Arrows
2185,765,608
Factor Arrows
292,882,804
Factor Arrows
246,441,402
Factor Arrows
223,220,701
Factor Arrows
73,317,243

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, 7, 3317243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 3,317,243 = 371,531,216

This can also be written as 24 x 71 x 3,317,2431 = 371,531,216

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


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