Q: What are the prime factors of the number 51,633,268?

 A: 2, 41, 149, 2113

Why are those the prime factors of the number 51,633,268?

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 51,633,268

51,633,268
Factor Arrows
225,816,634
Factor Arrows
212,908,317
Factor Arrows
41314,837
Factor Arrows
1492,113

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, 41, 149, 2113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 41 x 149 x 2,113 = 51,633,268

This can also be written as 22 x 411 x 1491 x 2,1131 = 51,633,268

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 51,633,268:


Ask a Question