Q: What are the prime factors of the number 26,260,928?

 A: 2, 181, 2267

Why are those the prime factors of the number 26,260,928?

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 26,260,928

26,260,928
Factor Arrows
213,130,464
Factor Arrows
26,565,232
Factor Arrows
23,282,616
Factor Arrows
21,641,308
Factor Arrows
2820,654
Factor Arrows
2410,327
Factor Arrows
1812,267

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, 181, 2267

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 181 x 2,267 = 26,260,928

This can also be written as 26 x 1811 x 2,2671 = 26,260,928

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 26,260,928:


Ask a Question