Q: What are the prime factors of the number 703,161?

 A: 3, 8681

Why are those the prime factors of the number 703,161?

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 703,161

703,161
Factor Arrows
3234,387
Factor Arrows
378,129
Factor Arrows
326,043
Factor Arrows
38,681

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:

3, 8681

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 8,681 = 703,161

This can also be written as 34 x 8,6811 = 703,161

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


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