Q: What are the prime factors of the number 2,883,840?

 A: 2, 3, 5, 751

Why are those the prime factors of the number 2,883,840?

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 2,883,840

2,883,840
Factor Arrows
21,441,920
Factor Arrows
2720,960
Factor Arrows
2360,480
Factor Arrows
2180,240
Factor Arrows
290,120
Factor Arrows
245,060
Factor Arrows
222,530
Factor Arrows
211,265
Factor Arrows
33,755
Factor Arrows
5751

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, 751

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 3 x 5 x 751 = 2,883,840

This can also be written as 28 x 31 x 51 x 7511 = 2,883,840

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 2,883,840:


Ask a Question