Q: What are the prime factors of the number 12,284,280?

 A: 2, 3, 5, 34123

Why are those the prime factors of the number 12,284,280?

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 12,284,280

12,284,280
Factor Arrows
26,142,140
Factor Arrows
23,071,070
Factor Arrows
21,535,535
Factor Arrows
3511,845
Factor Arrows
3170,615
Factor Arrows
534,123

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, 5, 34123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 34,123 = 12,284,280

This can also be written as 23 x 32 x 51 x 34,1231 = 12,284,280

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 12,284,280:


Ask a Question