Q: What are the prime factors of the number 618,880?

 A: 2, 5, 967

Why are those the prime factors of the number 618,880?

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 618,880

618,880
Factor Arrows
2309,440
Factor Arrows
2154,720
Factor Arrows
277,360
Factor Arrows
238,680
Factor Arrows
219,340
Factor Arrows
29,670
Factor Arrows
24,835
Factor Arrows
5967

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, 5, 967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 967 = 618,880

This can also be written as 27 x 51 x 9671 = 618,880

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 618,880:


Ask a Question