Q: What are the prime factors of the number 56,665,152?

 A: 2, 3, 98377

Why are those the prime factors of the number 56,665,152?

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 56,665,152

56,665,152
Factor Arrows
228,332,576
Factor Arrows
214,166,288
Factor Arrows
27,083,144
Factor Arrows
23,541,572
Factor Arrows
21,770,786
Factor Arrows
2885,393
Factor Arrows
3295,131
Factor Arrows
398,377

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, 98377

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 3 x 3 x 98,377 = 56,665,152

This can also be written as 26 x 32 x 98,3771 = 56,665,152

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 56,665,152:


Ask a Question