Q: What are the prime factors of the number 20,410,240?

 A: 2, 5, 31891

Why are those the prime factors of the number 20,410,240?

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 20,410,240

20,410,240
Factor Arrows
210,205,120
Factor Arrows
25,102,560
Factor Arrows
22,551,280
Factor Arrows
21,275,640
Factor Arrows
2637,820
Factor Arrows
2318,910
Factor Arrows
2159,455
Factor Arrows
531,891

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, 31891

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 31,891 = 20,410,240

This can also be written as 27 x 51 x 31,8911 = 20,410,240

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 20,410,240:


Ask a Question