Q: What are the prime factors of the number 277,755,136?

 A: 2, 1084981

Why are those the prime factors of the number 277,755,136?

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 277,755,136

277,755,136
Factor Arrows
2138,877,568
Factor Arrows
269,438,784
Factor Arrows
234,719,392
Factor Arrows
217,359,696
Factor Arrows
28,679,848
Factor Arrows
24,339,924
Factor Arrows
22,169,962
Factor Arrows
21,084,981

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, 1084981

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 1,084,981 = 277,755,136

This can also be written as 28 x 1,084,9811 = 277,755,136

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 277,755,136:


Ask a Question