Q: What are the prime factors of the number 2,183,680?

 A: 2, 5, 853

Why are those the prime factors of the number 2,183,680?

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 2,183,680

2,183,680
Factor Arrows
21,091,840
Factor Arrows
2545,920
Factor Arrows
2272,960
Factor Arrows
2136,480
Factor Arrows
268,240
Factor Arrows
234,120
Factor Arrows
217,060
Factor Arrows
28,530
Factor Arrows
24,265
Factor Arrows
5853

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, 853

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 2 x 2 x 5 x 853 = 2,183,680

This can also be written as 29 x 51 x 8531 = 2,183,680

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 2,183,680:


Ask a Question