Q: What are the prime factors of the number 250,056,504?

 A: 2, 3, 1157669

Why are those the prime factors of the number 250,056,504?

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 250,056,504

250,056,504
Factor Arrows
2125,028,252
Factor Arrows
262,514,126
Factor Arrows
231,257,063
Factor Arrows
310,419,021
Factor Arrows
33,473,007
Factor Arrows
31,157,669

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, 1157669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 1,157,669 = 250,056,504

This can also be written as 23 x 33 x 1,157,6691 = 250,056,504

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 250,056,504:


Ask a Question