Q: What are the prime factors of the number 43,264?

 A: 2, 13

Why are those the prime factors of the number 43,264?

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 43,264

43,264
Factor Arrows
221,632
Factor Arrows
210,816
Factor Arrows
25,408
Factor Arrows
22,704
Factor Arrows
21,352
Factor Arrows
2676
Factor Arrows
2338
Factor Arrows
2169
Factor Arrows
1313

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

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 13 = 43,264

This can also be written as 28 x 132 = 43,264

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 43,264:


Ask a Question