Q: What are the prime factors of the number 691,860?

 A: 2, 3, 5, 13, 887

Why are those the prime factors of the number 691,860?

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 691,860

691,860
Factor Arrows
2345,930
Factor Arrows
2172,965
Factor Arrows
357,655
Factor Arrows
511,531
Factor Arrows
13887

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, 3, 5, 13, 887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 887 = 691,860

This can also be written as 22 x 31 x 51 x 131 x 8871 = 691,860

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


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