Q: What are the prime factors of the number 26,880,060?

 A: 2, 3, 5, 17, 19, 73

Why are those the prime factors of the number 26,880,060?

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 26,880,060

26,880,060
Factor Arrows
213,440,030
Factor Arrows
26,720,015
Factor Arrows
32,240,005
Factor Arrows
5448,001
Factor Arrows
1726,353
Factor Arrows
191,387
Factor Arrows
1973

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, 17, 19, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 17 x 19 x 19 x 73 = 26,880,060

This can also be written as 22 x 31 x 51 x 171 x 192 x 731 = 26,880,060

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 26,880,060:


Ask a Question