Q: What are the prime factors of the number 550,710?

 A: 2, 3, 5, 29, 211

Why are those the prime factors of the number 550,710?

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 550,710

550,710
Factor Arrows
2275,355
Factor Arrows
391,785
Factor Arrows
330,595
Factor Arrows
56,119
Factor Arrows
29211

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, 29, 211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 29 x 211 = 550,710

This can also be written as 21 x 32 x 51 x 291 x 2111 = 550,710

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


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