Q: What are the prime factors of the number 44,000,150?

 A: 2, 5, 23, 38261

Why are those the prime factors of the number 44,000,150?

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 44,000,150

44,000,150
Factor Arrows
222,000,075
Factor Arrows
54,400,015
Factor Arrows
5880,003
Factor Arrows
2338,261

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, 5, 23, 38261

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 23 x 38,261 = 44,000,150

This can also be written as 21 x 52 x 231 x 38,2611 = 44,000,150

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 44,000,150:


Ask a Question