Q: What are the prime factors of the number 132,234,816?

 A: 2, 3, 7, 98389

Why are those the prime factors of the number 132,234,816?

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 132,234,816

132,234,816
Factor Arrows
266,117,408
Factor Arrows
233,058,704
Factor Arrows
216,529,352
Factor Arrows
28,264,676
Factor Arrows
24,132,338
Factor Arrows
22,066,169
Factor Arrows
3688,723
Factor Arrows
798,389

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, 7, 98389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 98,389 = 132,234,816

This can also be written as 26 x 31 x 71 x 98,3891 = 132,234,816

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 132,234,816:


Ask a Question