Q: What are the prime factors of the number 3,003,318?

 A: 2, 3, 18539

Why are those the prime factors of the number 3,003,318?

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 3,003,318

3,003,318
Factor Arrows
21,501,659
Factor Arrows
3500,553
Factor Arrows
3166,851
Factor Arrows
355,617
Factor Arrows
318,539

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, 18539

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 18,539 = 3,003,318

This can also be written as 21 x 34 x 18,5391 = 3,003,318

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 3,003,318:


Ask a Question