Q: What are the prime factors of the number 711,640?

 A: 2, 5, 17791

Why are those the prime factors of the number 711,640?

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 711,640

711,640
Factor Arrows
2355,820
Factor Arrows
2177,910
Factor Arrows
288,955
Factor Arrows
517,791

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, 5, 17791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 17,791 = 711,640

This can also be written as 23 x 51 x 17,7911 = 711,640

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


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