Q: What are the prime factors of the number 50,330,580?

 A: 2, 3, 5, 73, 11491

Why are those the prime factors of the number 50,330,580?

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 50,330,580

50,330,580
Factor Arrows
225,165,290
Factor Arrows
212,582,645
Factor Arrows
34,194,215
Factor Arrows
5838,843
Factor Arrows
7311,491

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, 5, 73, 11491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 73 x 11,491 = 50,330,580

This can also be written as 22 x 31 x 51 x 731 x 11,4911 = 50,330,580

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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