Q: What are the prime factors of the number 537,507,816?

 A: 2, 3, 22396159

Why are those the prime factors of the number 537,507,816?

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 537,507,816

537,507,816
Factor Arrows
2268,753,908
Factor Arrows
2134,376,954
Factor Arrows
267,188,477
Factor Arrows
322,396,159

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, 22396159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 22,396,159 = 537,507,816

This can also be written as 23 x 31 x 22,396,1591 = 537,507,816

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


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