Q: What are the prime factors of the number 130,324,527?

 A: 3, 31, 41, 11393

Why are those the prime factors of the number 130,324,527?

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 130,324,527

130,324,527
Factor Arrows
343,441,509
Factor Arrows
314,480,503
Factor Arrows
31467,113
Factor Arrows
4111,393

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:

3, 31, 41, 11393

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 41 x 11,393 = 130,324,527

This can also be written as 32 x 311 x 411 x 11,3931 = 130,324,527

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


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