Q: What are the prime factors of the number 111,701,478?

 A: 2, 3, 7, 23, 16519

Why are those the prime factors of the number 111,701,478?

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 111,701,478

111,701,478
Factor Arrows
255,850,739
Factor Arrows
318,616,913
Factor Arrows
72,659,559
Factor Arrows
7379,937
Factor Arrows
2316,519

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, 23, 16519

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 23 x 16,519 = 111,701,478

This can also be written as 21 x 31 x 72 x 231 x 16,5191 = 111,701,478

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 111,701,478:


Ask a Question