Q: What are the prime factors of the number 43,513,125?

 A: 3, 5, 23, 1009

Why are those the prime factors of the number 43,513,125?

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 43,513,125

43,513,125
Factor Arrows
314,504,375
Factor Arrows
52,900,875
Factor Arrows
5580,175
Factor Arrows
5116,035
Factor Arrows
523,207
Factor Arrows
231,009

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, 23, 1009

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 5 x 23 x 1,009 = 43,513,125

This can also be written as 31 x 54 x 231 x 1,0091 = 43,513,125

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 43,513,125:


Ask a Question