Q: What are the prime factors of the number 883,532?

 A: 2, 13, 1307

Why are those the prime factors of the number 883,532?

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 883,532

883,532
Factor Arrows
2441,766
Factor Arrows
2220,883
Factor Arrows
1316,991
Factor Arrows
131,307

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, 13, 1307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 1,307 = 883,532

This can also be written as 22 x 132 x 1,3071 = 883,532

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 883,532:


Ask a Question