Q: What are the prime factors of the number 75,407,160?

 A: 2, 3, 5, 67, 83, 113

Why are those the prime factors of the number 75,407,160?

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 75,407,160

75,407,160
Factor Arrows
237,703,580
Factor Arrows
218,851,790
Factor Arrows
29,425,895
Factor Arrows
33,141,965
Factor Arrows
5628,393
Factor Arrows
679,379
Factor Arrows
83113

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, 5, 67, 83, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 67 x 83 x 113 = 75,407,160

This can also be written as 23 x 31 x 51 x 671 x 831 x 1131 = 75,407,160

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 75,407,160:


Ask a Question