Q: What are the prime factors of the number 3,168,288?

 A: 2, 3, 19, 193

Why are those the prime factors of the number 3,168,288?

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 3,168,288

3,168,288
Factor Arrows
21,584,144
Factor Arrows
2792,072
Factor Arrows
2396,036
Factor Arrows
2198,018
Factor Arrows
299,009
Factor Arrows
333,003
Factor Arrows
311,001
Factor Arrows
33,667
Factor Arrows
19193

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, 19, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19 x 193 = 3,168,288

This can also be written as 25 x 33 x 191 x 1931 = 3,168,288

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 3,168,288:


Ask a Question