Q: What are the prime factors of the number 10,315,100?

 A: 2, 5, 19, 61, 89

Why are those the prime factors of the number 10,315,100?

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 10,315,100

10,315,100
Factor Arrows
25,157,550
Factor Arrows
22,578,775
Factor Arrows
5515,755
Factor Arrows
5103,151
Factor Arrows
195,429
Factor Arrows
6189

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, 5, 19, 61, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 19 x 61 x 89 = 10,315,100

This can also be written as 22 x 52 x 191 x 611 x 891 = 10,315,100

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 10,315,100:


Ask a Question