Q: What are the prime factors of the number 550,962?

 A: 2, 3, 19, 179

Why are those the prime factors of the number 550,962?

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 550,962

550,962
Factor Arrows
2275,481
Factor Arrows
391,827
Factor Arrows
330,609
Factor Arrows
310,203
Factor Arrows
33,401
Factor Arrows
19179

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, 19, 179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 19 x 179 = 550,962

This can also be written as 21 x 34 x 191 x 1791 = 550,962

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


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