Q: What are the prime factors of the number 450,936?

 A: 2, 3, 6263

Why are those the prime factors of the number 450,936?

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 450,936

450,936
Factor Arrows
2225,468
Factor Arrows
2112,734
Factor Arrows
256,367
Factor Arrows
318,789
Factor Arrows
36,263

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, 6263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 6,263 = 450,936

This can also be written as 23 x 32 x 6,2631 = 450,936

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 450,936:


Ask a Question