Q: What are the prime factors of the number 50,504,020?

 A: 2, 5, 7, 97, 3719

Why are those the prime factors of the number 50,504,020?

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 50,504,020

50,504,020
Factor Arrows
225,252,010
Factor Arrows
212,626,005
Factor Arrows
52,525,201
Factor Arrows
7360,743
Factor Arrows
973,719

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, 5, 7, 97, 3719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 97 x 3,719 = 50,504,020

This can also be written as 22 x 51 x 71 x 971 x 3,7191 = 50,504,020

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


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