Q: What are the prime factors of the number 61,668?

 A: 2, 3, 571

Why are those the prime factors of the number 61,668?

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 61,668

61,668
Factor Arrows
230,834
Factor Arrows
215,417
Factor Arrows
35,139
Factor Arrows
31,713
Factor Arrows
3571

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, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 571 = 61,668

This can also be written as 22 x 33 x 5711 = 61,668

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 61,668:


Ask a Question