Q: What are the prime factors of the number 550,132,530?

 A: 2, 3, 5, 499, 36749

Why are those the prime factors of the number 550,132,530?

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 550,132,530

550,132,530
Factor Arrows
2275,066,265
Factor Arrows
391,688,755
Factor Arrows
518,337,751
Factor Arrows
49936,749

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, 5, 499, 36749

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 499 x 36,749 = 550,132,530

This can also be written as 21 x 31 x 51 x 4991 x 36,7491 = 550,132,530

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


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