Q: What are the prime factors of the number 106,431,351?

 A: 3, 13, 37, 73757

Why are those the prime factors of the number 106,431,351?

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 106,431,351

106,431,351
Factor Arrows
335,477,117
Factor Arrows
132,729,009
Factor Arrows
3773,757

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:

3, 13, 37, 73757

We can check our work by multiplying all of the prime factors together: 3 x 13 x 37 x 73,757 = 106,431,351

This can also be written as 31 x 131 x 371 x 73,7571 = 106,431,351

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 106,431,351:


Ask a Question