Q: What are the prime factors of the number 992,940?

 A: 2, 3, 5, 13, 19, 67

Why are those the prime factors of the number 992,940?

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 992,940

992,940
Factor Arrows
2496,470
Factor Arrows
2248,235
Factor Arrows
382,745
Factor Arrows
516,549
Factor Arrows
131,273
Factor Arrows
1967

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, 13, 19, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 13 x 19 x 67 = 992,940

This can also be written as 22 x 31 x 51 x 131 x 191 x 671 = 992,940

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 992,940:


Ask a Question