Q: What are the prime factors of the number 292,360,135?

 A: 5, 17, 41, 83891

Why are those the prime factors of the number 292,360,135?

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 292,360,135

292,360,135
Factor Arrows
558,472,027
Factor Arrows
173,439,531
Factor Arrows
4183,891

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:

5, 17, 41, 83891

We can check our work by multiplying all of the prime factors together: 5 x 17 x 41 x 83,891 = 292,360,135

This can also be written as 51 x 171 x 411 x 83,8911 = 292,360,135

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


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