Q: What are the prime factors of the number 64,055,145?

 A: 3, 5, 7, 11, 31, 1789

Why are those the prime factors of the number 64,055,145?

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 64,055,145

64,055,145
Factor Arrows
321,351,715
Factor Arrows
54,270,343
Factor Arrows
7610,049
Factor Arrows
1155,459
Factor Arrows
311,789

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:

3, 5, 7, 11, 31, 1789

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 31 x 1,789 = 64,055,145

This can also be written as 31 x 51 x 71 x 111 x 311 x 1,7891 = 64,055,145

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 64,055,145:


Ask a Question