Q: What are the prime factors of the number 276,826,860?

 A: 2, 3, 5, 101, 15227

Why are those the prime factors of the number 276,826,860?

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 276,826,860

276,826,860
Factor Arrows
2138,413,430
Factor Arrows
269,206,715
Factor Arrows
323,068,905
Factor Arrows
37,689,635
Factor Arrows
51,537,927
Factor Arrows
10115,227

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, 101, 15227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 101 x 15,227 = 276,826,860

This can also be written as 22 x 32 x 51 x 1011 x 15,2271 = 276,826,860

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 276,826,860:


Ask a Question