Q: What are the prime factors of the number 699,315?

 A: 3, 5, 23, 2027

Why are those the prime factors of the number 699,315?

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 699,315

699,315
Factor Arrows
3233,105
Factor Arrows
546,621
Factor Arrows
232,027

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, 5, 23, 2027

We can check our work by multiplying all of the prime factors together: 3 x 5 x 23 x 2,027 = 699,315

This can also be written as 31 x 51 x 231 x 2,0271 = 699,315

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


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