Q: What are the prime factors of the number 50,032,284?

 A: 2, 3, 433, 9629

Why are those the prime factors of the number 50,032,284?

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 50,032,284

50,032,284
Factor Arrows
225,016,142
Factor Arrows
212,508,071
Factor Arrows
34,169,357
Factor Arrows
4339,629

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, 433, 9629

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 433 x 9,629 = 50,032,284

This can also be written as 22 x 31 x 4331 x 9,6291 = 50,032,284

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


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