Q: What are the prime factors of the number 176,112?

 A: 2, 3, 1223

Why are those the prime factors of the number 176,112?

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 176,112

176,112
Factor Arrows
288,056
Factor Arrows
244,028
Factor Arrows
222,014
Factor Arrows
211,007
Factor Arrows
33,669
Factor Arrows
31,223

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, 1223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 1,223 = 176,112

This can also be written as 24 x 32 x 1,2231 = 176,112

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 176,112:


Ask a Question