Q: What are the prime factors of the number 72,312,198?

 A: 2, 3, 7, 1721719

Why are those the prime factors of the number 72,312,198?

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 72,312,198

72,312,198
Factor Arrows
236,156,099
Factor Arrows
312,052,033
Factor Arrows
71,721,719

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, 3, 7, 1721719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 1,721,719 = 72,312,198

This can also be written as 21 x 31 x 71 x 1,721,7191 = 72,312,198

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


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