Q: What are the prime factors of the number 5,993,232?

 A: 2, 3, 7, 17837

Why are those the prime factors of the number 5,993,232?

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 5,993,232

5,993,232
Factor Arrows
22,996,616
Factor Arrows
21,498,308
Factor Arrows
2749,154
Factor Arrows
2374,577
Factor Arrows
3124,859
Factor Arrows
717,837

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, 7, 17837

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 17,837 = 5,993,232

This can also be written as 24 x 31 x 71 x 17,8371 = 5,993,232

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 5,993,232:


Ask a Question