Q: What are the prime factors of the number 10,104,630?

 A: 2, 3, 5, 17, 19813

Why are those the prime factors of the number 10,104,630?

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 10,104,630

10,104,630
Factor Arrows
25,052,315
Factor Arrows
31,684,105
Factor Arrows
5336,821
Factor Arrows
1719,813

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, 5, 17, 19813

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 19,813 = 10,104,630

This can also be written as 21 x 31 x 51 x 171 x 19,8131 = 10,104,630

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 10,104,630:


Ask a Question