Q: What are the prime factors of the number 696,892?

 A: 2, 7, 24889

Why are those the prime factors of the number 696,892?

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 696,892

696,892
Factor Arrows
2348,446
Factor Arrows
2174,223
Factor Arrows
724,889

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, 7, 24889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 24,889 = 696,892

This can also be written as 22 x 71 x 24,8891 = 696,892

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


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