Q: What are the prime factors of the number 6,460,136?

 A: 2, 17, 47501

Why are those the prime factors of the number 6,460,136?

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 6,460,136

6,460,136
Factor Arrows
23,230,068
Factor Arrows
21,615,034
Factor Arrows
2807,517
Factor Arrows
1747,501

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, 17, 47501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 47,501 = 6,460,136

This can also be written as 23 x 171 x 47,5011 = 6,460,136

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 6,460,136:


Ask a Question