Q: What are the prime factors of the number 77,404,032?

 A: 2, 3, 22397

Why are those the prime factors of the number 77,404,032?

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 77,404,032

77,404,032
Factor Arrows
238,702,016
Factor Arrows
219,351,008
Factor Arrows
29,675,504
Factor Arrows
24,837,752
Factor Arrows
22,418,876
Factor Arrows
21,209,438
Factor Arrows
2604,719
Factor Arrows
3201,573
Factor Arrows
367,191
Factor Arrows
322,397

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, 22397

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 3 x 3 x 3 x 22,397 = 77,404,032

This can also be written as 27 x 33 x 22,3971 = 77,404,032

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 77,404,032:


Ask a Question