Q: What are the prime factors of the number 2,482,592?

 A: 2, 7, 11083

Why are those the prime factors of the number 2,482,592?

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 2,482,592

2,482,592
Factor Arrows
21,241,296
Factor Arrows
2620,648
Factor Arrows
2310,324
Factor Arrows
2155,162
Factor Arrows
277,581
Factor Arrows
711,083

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, 7, 11083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 11,083 = 2,482,592

This can also be written as 25 x 71 x 11,0831 = 2,482,592

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


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