Q: What are the prime factors of the number 118,272?

 A: 2, 3, 7, 11

Why are those the prime factors of the number 118,272?

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 118,272

118,272
Factor Arrows
259,136
Factor Arrows
229,568
Factor Arrows
214,784
Factor Arrows
27,392
Factor Arrows
23,696
Factor Arrows
21,848
Factor Arrows
2924
Factor Arrows
2462
Factor Arrows
2231
Factor Arrows
377
Factor Arrows
711

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, 7, 11

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 2 x 3 x 7 x 11 = 118,272

This can also be written as 29 x 31 x 71 x 111 = 118,272

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 118,272:


Ask a Question