Q: What are the prime factors of the number 21,808,480?

 A: 2, 5, 136303

Why are those the prime factors of the number 21,808,480?

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 21,808,480

21,808,480
Factor Arrows
210,904,240
Factor Arrows
25,452,120
Factor Arrows
22,726,060
Factor Arrows
21,363,030
Factor Arrows
2681,515
Factor Arrows
5136,303

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, 136303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 136,303 = 21,808,480

This can also be written as 25 x 51 x 136,3031 = 21,808,480

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 21,808,480:


Ask a Question