Q: What are the prime factors of the number 2,239,360?

 A: 2, 5, 3499

Why are those the prime factors of the number 2,239,360?

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 2,239,360

2,239,360
Factor Arrows
21,119,680
Factor Arrows
2559,840
Factor Arrows
2279,920
Factor Arrows
2139,960
Factor Arrows
269,980
Factor Arrows
234,990
Factor Arrows
217,495
Factor Arrows
53,499

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, 3499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3,499 = 2,239,360

This can also be written as 27 x 51 x 3,4991 = 2,239,360

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 2,239,360:


Ask a Question