Q: What are the prime factors of the number 7,757,192?

 A: 2, 31, 1009

Why are those the prime factors of the number 7,757,192?

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 7,757,192

7,757,192
Factor Arrows
23,878,596
Factor Arrows
21,939,298
Factor Arrows
2969,649
Factor Arrows
3131,279
Factor Arrows
311,009

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:

2, 31, 1009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 31 x 31 x 1,009 = 7,757,192

This can also be written as 23 x 312 x 1,0091 = 7,757,192

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 7,757,192:


Ask a Question