Q: What are the prime factors of the number 550,692?

 A: 2, 3, 5099

Why are those the prime factors of the number 550,692?

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 550,692

550,692
Factor Arrows
2275,346
Factor Arrows
2137,673
Factor Arrows
345,891
Factor Arrows
315,297
Factor Arrows
35,099

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, 5099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5,099 = 550,692

This can also be written as 22 x 33 x 5,0991 = 550,692

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


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