Q: What are the prime factors of the number 111,020,112?

 A: 2, 3, 7, 36713

Why are those the prime factors of the number 111,020,112?

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 111,020,112

111,020,112
Factor Arrows
255,510,056
Factor Arrows
227,755,028
Factor Arrows
213,877,514
Factor Arrows
26,938,757
Factor Arrows
32,312,919
Factor Arrows
3770,973
Factor Arrows
3256,991
Factor Arrows
736,713

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, 36713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 36,713 = 111,020,112

This can also be written as 24 x 33 x 71 x 36,7131 = 111,020,112

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 111,020,112:


Ask a Question