Q: What are the prime factors of the number 50,508,486?

 A: 2, 3, 7, 31, 67, 193

Why are those the prime factors of the number 50,508,486?

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 50,508,486

50,508,486
Factor Arrows
225,254,243
Factor Arrows
38,418,081
Factor Arrows
32,806,027
Factor Arrows
7400,861
Factor Arrows
3112,931
Factor Arrows
67193

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, 7, 31, 67, 193

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 31 x 67 x 193 = 50,508,486

This can also be written as 21 x 32 x 71 x 311 x 671 x 1931 = 50,508,486

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 50,508,486:


Ask a Question