Q: What are the prime factors of the number 1,859,916?

 A: 2, 3, 37, 59, 71

Why are those the prime factors of the number 1,859,916?

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 1,859,916

1,859,916
Factor Arrows
2929,958
Factor Arrows
2464,979
Factor Arrows
3154,993
Factor Arrows
374,189
Factor Arrows
5971

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, 37, 59, 71

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 37 x 59 x 71 = 1,859,916

This can also be written as 22 x 31 x 371 x 591 x 711 = 1,859,916

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,859,916:


Ask a Question