Q: What are the prime factors of the number 697,998?

 A: 2, 3, 7, 16619

Why are those the prime factors of the number 697,998?

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 697,998

697,998
Factor Arrows
2348,999
Factor Arrows
3116,333
Factor Arrows
716,619

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, 7, 16619

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 16,619 = 697,998

This can also be written as 21 x 31 x 71 x 16,6191 = 697,998

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


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