Q: What are the prime factors of the number 13,847,078?

 A: 2, 7, 17, 73, 797

Why are those the prime factors of the number 13,847,078?

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 13,847,078

13,847,078
Factor Arrows
26,923,539
Factor Arrows
7989,077
Factor Arrows
1758,181
Factor Arrows
73797

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, 7, 17, 73, 797

We can check our work by multiplying all of the prime factors together: 2 x 7 x 17 x 73 x 797 = 13,847,078

This can also be written as 21 x 71 x 171 x 731 x 7971 = 13,847,078

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 13,847,078:


Ask a Question