Q: What are the prime factors of the number 969,564?

 A: 2, 3, 43, 1879

Why are those the prime factors of the number 969,564?

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 969,564

969,564
Factor Arrows
2484,782
Factor Arrows
2242,391
Factor Arrows
380,797
Factor Arrows
431,879

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, 43, 1879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 1,879 = 969,564

This can also be written as 22 x 31 x 431 x 1,8791 = 969,564

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 969,564:


Ask a Question