Q: What are the prime factors of the number 5,635,836?

 A: 2, 3, 89, 1759

Why are those the prime factors of the number 5,635,836?

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 5,635,836

5,635,836
Factor Arrows
22,817,918
Factor Arrows
21,408,959
Factor Arrows
3469,653
Factor Arrows
3156,551
Factor Arrows
891,759

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, 89, 1759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 89 x 1,759 = 5,635,836

This can also be written as 22 x 32 x 891 x 1,7591 = 5,635,836

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 5,635,836:


Ask a Question