Q: What are the prime factors of the number 152,501,812?

 A: 2, 293, 130121

Why are those the prime factors of the number 152,501,812?

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 152,501,812

152,501,812
Factor Arrows
276,250,906
Factor Arrows
238,125,453
Factor Arrows
293130,121

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, 293, 130121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 293 x 130,121 = 152,501,812

This can also be written as 22 x 2931 x 130,1211 = 152,501,812

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


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