Q: What are the prime factors of the number 712,445,042?

 A: 2, 17203, 20707

Why are those the prime factors of the number 712,445,042?

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 712,445,042

712,445,042
Factor Arrows
2356,222,521
Factor Arrows
17,20320,707

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, 17203, 20707

We can check our work by multiplying all of the prime factors together: 2 x 17,203 x 20,707 = 712,445,042

This can also be written as 21 x 17,2031 x 20,7071 = 712,445,042

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


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