Q: What are the prime factors of the number 202,316,616?

 A: 2, 3, 312217

Why are those the prime factors of the number 202,316,616?

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 202,316,616

202,316,616
Factor Arrows
2101,158,308
Factor Arrows
250,579,154
Factor Arrows
225,289,577
Factor Arrows
38,429,859
Factor Arrows
32,809,953
Factor Arrows
3936,651
Factor Arrows
3312,217

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, 312217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 312,217 = 202,316,616

This can also be written as 23 x 34 x 312,2171 = 202,316,616

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


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