Q: What are the prime factors of the number 269,406?

 A: 2, 3, 1663

Why are those the prime factors of the number 269,406?

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 269,406

269,406
Factor Arrows
2134,703
Factor Arrows
344,901
Factor Arrows
314,967
Factor Arrows
34,989
Factor Arrows
31,663

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, 1663

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 1,663 = 269,406

This can also be written as 21 x 34 x 1,6631 = 269,406

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 269,406:


Ask a Question