Q: What are the prime factors of the number 1,992,600?

 A: 2, 3, 5, 41

Why are those the prime factors of the number 1,992,600?

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 1,992,600

1,992,600
Factor Arrows
2996,300
Factor Arrows
2498,150
Factor Arrows
2249,075
Factor Arrows
383,025
Factor Arrows
327,675
Factor Arrows
39,225
Factor Arrows
33,075
Factor Arrows
31,025
Factor Arrows
5205
Factor Arrows
541

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, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 41 = 1,992,600

This can also be written as 23 x 35 x 52 x 411 = 1,992,600

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 1,992,600:


Ask a Question