Q: What are the prime factors of the number 710,312?

 A: 2, 88789

Why are those the prime factors of the number 710,312?

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 710,312

710,312
Factor Arrows
2355,156
Factor Arrows
2177,578
Factor Arrows
288,789

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, 88789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 88,789 = 710,312

This can also be written as 23 x 88,7891 = 710,312

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


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