Q: What are the prime factors of the number 410,496?

 A: 2, 3, 1069

Why are those the prime factors of the number 410,496?

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 410,496

410,496
Factor Arrows
2205,248
Factor Arrows
2102,624
Factor Arrows
251,312
Factor Arrows
225,656
Factor Arrows
212,828
Factor Arrows
26,414
Factor Arrows
23,207
Factor Arrows
31,069

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, 1069

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1,069 = 410,496

This can also be written as 27 x 31 x 1,0691 = 410,496

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 410,496:


Ask a Question