Q: What are the prime factors of the number 50,801,586?

 A: 2, 3, 11, 101, 7621

Why are those the prime factors of the number 50,801,586?

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 50,801,586

50,801,586
Factor Arrows
225,400,793
Factor Arrows
38,466,931
Factor Arrows
11769,721
Factor Arrows
1017,621

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, 11, 101, 7621

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 101 x 7,621 = 50,801,586

This can also be written as 21 x 31 x 111 x 1011 x 7,6211 = 50,801,586

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


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