Q: What are the prime factors of the number 969,336?

 A: 2, 3, 13463

Why are those the prime factors of the number 969,336?

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 969,336

969,336
Factor Arrows
2484,668
Factor Arrows
2242,334
Factor Arrows
2121,167
Factor Arrows
340,389
Factor Arrows
313,463

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, 13463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13,463 = 969,336

This can also be written as 23 x 32 x 13,4631 = 969,336

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 969,336:


Ask a Question