Q: What are the prime factors of the number 3,196,500?

 A: 2, 3, 5, 2131

Why are those the prime factors of the number 3,196,500?

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 3,196,500

3,196,500
Factor Arrows
21,598,250
Factor Arrows
2799,125
Factor Arrows
3266,375
Factor Arrows
553,275
Factor Arrows
510,655
Factor Arrows
52,131

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, 5, 2131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 2,131 = 3,196,500

This can also be written as 22 x 31 x 53 x 2,1311 = 3,196,500

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 3,196,500:


Ask a Question