Q: What are the prime factors of the number 75,227,724?

 A: 2, 3, 11, 13, 4871

Why are those the prime factors of the number 75,227,724?

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 75,227,724

75,227,724
Factor Arrows
237,613,862
Factor Arrows
218,806,931
Factor Arrows
36,268,977
Factor Arrows
32,089,659
Factor Arrows
3696,553
Factor Arrows
1163,323
Factor Arrows
134,871

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, 11, 13, 4871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 13 x 4,871 = 75,227,724

This can also be written as 22 x 33 x 111 x 131 x 4,8711 = 75,227,724

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 75,227,724:


Ask a Question