Q: What are the prime factors of the number 125,538,552?

 A: 2, 3, 581197

Why are those the prime factors of the number 125,538,552?

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 125,538,552

125,538,552
Factor Arrows
262,769,276
Factor Arrows
231,384,638
Factor Arrows
215,692,319
Factor Arrows
35,230,773
Factor Arrows
31,743,591
Factor Arrows
3581,197

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, 581197

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 581,197 = 125,538,552

This can also be written as 23 x 33 x 581,1971 = 125,538,552

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 125,538,552:


Ask a Question