Q: What are the prime factors of the number 1,578,987?

 A: 3, 58481

Why are those the prime factors of the number 1,578,987?

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 1,578,987

1,578,987
Factor Arrows
3526,329
Factor Arrows
3175,443
Factor Arrows
358,481

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, 58481

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 58,481 = 1,578,987

This can also be written as 33 x 58,4811 = 1,578,987

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


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