Q: What are the prime factors of the number 602,713,757?

 A: 29, 37, 43, 13063

Why are those the prime factors of the number 602,713,757?

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 602,713,757

602,713,757
Factor Arrows
2920,783,233
Factor Arrows
37561,709
Factor Arrows
4313,063

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:

29, 37, 43, 13063

We can check our work by multiplying all of the prime factors together: 29 x 37 x 43 x 13,063 = 602,713,757

This can also be written as 291 x 371 x 431 x 13,0631 = 602,713,757

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


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