Q: What are the prime factors of the number 520,372,050?

 A: 2, 3, 5, 11, 315377

Why are those the prime factors of the number 520,372,050?

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 520,372,050

520,372,050
Factor Arrows
2260,186,025
Factor Arrows
386,728,675
Factor Arrows
517,345,735
Factor Arrows
53,469,147
Factor Arrows
11315,377

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, 11, 315377

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 11 x 315,377 = 520,372,050

This can also be written as 21 x 31 x 52 x 111 x 315,3771 = 520,372,050

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


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