Q: What are the prime factors of the number 504,015,324?

 A: 2, 3, 42001277

Why are those the prime factors of the number 504,015,324?

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 504,015,324

504,015,324
Factor Arrows
2252,007,662
Factor Arrows
2126,003,831
Factor Arrows
342,001,277

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, 42001277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 42,001,277 = 504,015,324

This can also be written as 22 x 31 x 42,001,2771 = 504,015,324

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


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