Q: What are the prime factors of the number 3,441,504?

 A: 2, 3, 11, 3259

Why are those the prime factors of the number 3,441,504?

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 3,441,504

3,441,504
Factor Arrows
21,720,752
Factor Arrows
2860,376
Factor Arrows
2430,188
Factor Arrows
2215,094
Factor Arrows
2107,547
Factor Arrows
335,849
Factor Arrows
113,259

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, 11, 3259

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 11 x 3,259 = 3,441,504

This can also be written as 25 x 31 x 111 x 3,2591 = 3,441,504

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 3,441,504:


Ask a Question