Q: What are the prime factors of the number 535,057,284?

 A: 2, 3, 44588107

Why are those the prime factors of the number 535,057,284?

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 535,057,284

535,057,284
Factor Arrows
2267,528,642
Factor Arrows
2133,764,321
Factor Arrows
344,588,107

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, 44588107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 44,588,107 = 535,057,284

This can also be written as 22 x 31 x 44,588,1071 = 535,057,284

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


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