Q: What are the prime factors of the number 504,021,432?

 A: 2, 3, 21000893

Why are those the prime factors of the number 504,021,432?

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 504,021,432

504,021,432
Factor Arrows
2252,010,716
Factor Arrows
2126,005,358
Factor Arrows
263,002,679
Factor Arrows
321,000,893

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, 21000893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 21,000,893 = 504,021,432

This can also be written as 23 x 31 x 21,000,8931 = 504,021,432

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


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