Q: What are the prime factors of the number 331,725,068?

 A: 2, 769, 107843

Why are those the prime factors of the number 331,725,068?

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 331,725,068

331,725,068
Factor Arrows
2165,862,534
Factor Arrows
282,931,267
Factor Arrows
769107,843

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, 769, 107843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 769 x 107,843 = 331,725,068

This can also be written as 22 x 7691 x 107,8431 = 331,725,068

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


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