Q: What are the prime factors of the number 23,125,120?

 A: 2, 5, 23, 1571

Why are those the prime factors of the number 23,125,120?

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 23,125,120

23,125,120
Factor Arrows
211,562,560
Factor Arrows
25,781,280
Factor Arrows
22,890,640
Factor Arrows
21,445,320
Factor Arrows
2722,660
Factor Arrows
2361,330
Factor Arrows
2180,665
Factor Arrows
536,133
Factor Arrows
231,571

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, 5, 23, 1571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 1,571 = 23,125,120

This can also be written as 27 x 51 x 231 x 1,5711 = 23,125,120

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 23,125,120:


Ask a Question