Q: What are the prime factors of the number 110,505,006?

 A: 2, 3, 2046389

Why are those the prime factors of the number 110,505,006?

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 110,505,006

110,505,006
Factor Arrows
255,252,503
Factor Arrows
318,417,501
Factor Arrows
36,139,167
Factor Arrows
32,046,389

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, 2046389

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 2,046,389 = 110,505,006

This can also be written as 21 x 33 x 2,046,3891 = 110,505,006

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 110,505,006:


Ask a Question