Q: What are the prime factors of the number 535,662?

 A: 2, 3, 29759

Why are those the prime factors of the number 535,662?

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 535,662

535,662
Factor Arrows
2267,831
Factor Arrows
389,277
Factor Arrows
329,759

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, 29759

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 29,759 = 535,662

This can also be written as 21 x 32 x 29,7591 = 535,662

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 535,662:


Ask a Question