Q: What are the prime factors of the number 188,082?

 A: 2, 3, 43

Why are those the prime factors of the number 188,082?

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 188,082

188,082
Factor Arrows
294,041
Factor Arrows
331,347
Factor Arrows
310,449
Factor Arrows
33,483
Factor Arrows
31,161
Factor Arrows
3387
Factor Arrows
3129
Factor Arrows
343

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, 43

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 43 = 188,082

This can also be written as 21 x 37 x 431 = 188,082

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 188,082:


Ask a Question