Q: What are the prime factors of the number 504,425,352?

 A: 2, 3, 367, 57269

Why are those the prime factors of the number 504,425,352?

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 504,425,352

504,425,352
Factor Arrows
2252,212,676
Factor Arrows
2126,106,338
Factor Arrows
263,053,169
Factor Arrows
321,017,723
Factor Arrows
36757,269

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, 367, 57269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 367 x 57,269 = 504,425,352

This can also be written as 23 x 31 x 3671 x 57,2691 = 504,425,352

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


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