Q: What are the prime factors of the number 703,206,712?

 A: 2, 13, 6761603

Why are those the prime factors of the number 703,206,712?

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 703,206,712

703,206,712
Factor Arrows
2351,603,356
Factor Arrows
2175,801,678
Factor Arrows
287,900,839
Factor Arrows
136,761,603

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, 13, 6761603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 6,761,603 = 703,206,712

This can also be written as 23 x 131 x 6,761,6031 = 703,206,712

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


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