Q: What are the prime factors of the number 526,944?

 A: 2, 3, 11, 499

Why are those the prime factors of the number 526,944?

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 526,944

526,944
Factor Arrows
2263,472
Factor Arrows
2131,736
Factor Arrows
265,868
Factor Arrows
232,934
Factor Arrows
216,467
Factor Arrows
35,489
Factor Arrows
11499

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, 11, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 11 x 499 = 526,944

This can also be written as 25 x 31 x 111 x 4991 = 526,944

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


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