Q: What are the prime factors of the number 44,338,416?

 A: 2, 3, 337, 2741

Why are those the prime factors of the number 44,338,416?

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 44,338,416

44,338,416
Factor Arrows
222,169,208
Factor Arrows
211,084,604
Factor Arrows
25,542,302
Factor Arrows
22,771,151
Factor Arrows
3923,717
Factor Arrows
3372,741

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, 337, 2741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 337 x 2,741 = 44,338,416

This can also be written as 24 x 31 x 3371 x 2,7411 = 44,338,416

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 44,338,416:


Ask a Question