Q: What are the prime factors of the number 13,145,424?

 A: 2, 3, 137, 1999

Why are those the prime factors of the number 13,145,424?

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 13,145,424

13,145,424
Factor Arrows
26,572,712
Factor Arrows
23,286,356
Factor Arrows
21,643,178
Factor Arrows
2821,589
Factor Arrows
3273,863
Factor Arrows
1371,999

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, 137, 1999

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 137 x 1,999 = 13,145,424

This can also be written as 24 x 31 x 1371 x 1,9991 = 13,145,424

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 13,145,424:


Ask a Question