Q: What are the prime factors of the number 635,128?

 A: 2, 13, 31, 197

Why are those the prime factors of the number 635,128?

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 635,128

635,128
Factor Arrows
2317,564
Factor Arrows
2158,782
Factor Arrows
279,391
Factor Arrows
136,107
Factor Arrows
31197

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, 13, 31, 197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 31 x 197 = 635,128

This can also be written as 23 x 131 x 311 x 1971 = 635,128

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 635,128:


Ask a Question