Q: What are the prime factors of the number 415,264?

 A: 2, 19, 683

Why are those the prime factors of the number 415,264?

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 415,264

415,264
Factor Arrows
2207,632
Factor Arrows
2103,816
Factor Arrows
251,908
Factor Arrows
225,954
Factor Arrows
212,977
Factor Arrows
19683

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, 19, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 683 = 415,264

This can also be written as 25 x 191 x 6831 = 415,264

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 415,264:


Ask a Question