Q: What are the prime factors of the number 56,250,224?

 A: 2, 3515639

Why are those the prime factors of the number 56,250,224?

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 56,250,224

56,250,224
Factor Arrows
228,125,112
Factor Arrows
214,062,556
Factor Arrows
27,031,278
Factor Arrows
23,515,639

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, 3515639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3,515,639 = 56,250,224

This can also be written as 24 x 3,515,6391 = 56,250,224

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


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