Q: What are the prime factors of the number 117,155,072?

 A: 2, 73, 6269

Why are those the prime factors of the number 117,155,072?

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 117,155,072

117,155,072
Factor Arrows
258,577,536
Factor Arrows
229,288,768
Factor Arrows
214,644,384
Factor Arrows
27,322,192
Factor Arrows
23,661,096
Factor Arrows
21,830,548
Factor Arrows
2915,274
Factor Arrows
2457,637
Factor Arrows
736,269

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, 73, 6269

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 2 x 73 x 6,269 = 117,155,072

This can also be written as 28 x 731 x 6,2691 = 117,155,072

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 117,155,072:


Ask a Question