Q: What are the prime factors of the number 10,515,102?

 A: 2, 3, 13, 113, 1193

Why are those the prime factors of the number 10,515,102?

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 10,515,102

10,515,102
Factor Arrows
25,257,551
Factor Arrows
31,752,517
Factor Arrows
13134,809
Factor Arrows
1131,193

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, 13, 113, 1193

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 113 x 1,193 = 10,515,102

This can also be written as 21 x 31 x 131 x 1131 x 1,1931 = 10,515,102

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 10,515,102:


Ask a Question