Q: What are the prime factors of the number 550,960?

 A: 2, 5, 71, 97

Why are those the prime factors of the number 550,960?

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 550,960

550,960
Factor Arrows
2275,480
Factor Arrows
2137,740
Factor Arrows
268,870
Factor Arrows
234,435
Factor Arrows
56,887
Factor Arrows
7197

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, 5, 71, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 71 x 97 = 550,960

This can also be written as 24 x 51 x 711 x 971 = 550,960

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


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