Q: What are the prime factors of the number 3,515,776?

 A: 2, 11, 227

Why are those the prime factors of the number 3,515,776?

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 3,515,776

3,515,776
Factor Arrows
21,757,888
Factor Arrows
2878,944
Factor Arrows
2439,472
Factor Arrows
2219,736
Factor Arrows
2109,868
Factor Arrows
254,934
Factor Arrows
227,467
Factor Arrows
112,497
Factor Arrows
11227

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, 11, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11 x 227 = 3,515,776

This can also be written as 27 x 112 x 2271 = 3,515,776

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


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