Q: What are the prime factors of the number 550,012?

 A: 2, 19, 7237

Why are those the prime factors of the number 550,012?

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 550,012

550,012
Factor Arrows
2275,006
Factor Arrows
2137,503
Factor Arrows
197,237

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, 19, 7237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 7,237 = 550,012

This can also be written as 22 x 191 x 7,2371 = 550,012

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


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