Q: What are the prime factors of the number 520,335,024?

 A: 2, 3, 11, 985483

Why are those the prime factors of the number 520,335,024?

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 520,335,024

520,335,024
Factor Arrows
2260,167,512
Factor Arrows
2130,083,756
Factor Arrows
265,041,878
Factor Arrows
232,520,939
Factor Arrows
310,840,313
Factor Arrows
11985,483

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, 985483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 11 x 985,483 = 520,335,024

This can also be written as 24 x 31 x 111 x 985,4831 = 520,335,024

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


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