Q: What are the prime factors of the number 3,466,496?

 A: 2, 11, 1231

Why are those the prime factors of the number 3,466,496?

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 3,466,496

3,466,496
Factor Arrows
21,733,248
Factor Arrows
2866,624
Factor Arrows
2433,312
Factor Arrows
2216,656
Factor Arrows
2108,328
Factor Arrows
254,164
Factor Arrows
227,082
Factor Arrows
213,541
Factor Arrows
111,231

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, 11, 1231

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 2 x 11 x 1,231 = 3,466,496

This can also be written as 28 x 111 x 1,2311 = 3,466,496

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 3,466,496:


Ask a Question