Q: What are the prime factors of the number 1,016,512?

 A: 2, 7, 2269

Why are those the prime factors of the number 1,016,512?

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 1,016,512

1,016,512
Factor Arrows
2508,256
Factor Arrows
2254,128
Factor Arrows
2127,064
Factor Arrows
263,532
Factor Arrows
231,766
Factor Arrows
215,883
Factor Arrows
72,269

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, 2269

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 7 x 2,269 = 1,016,512

This can also be written as 26 x 71 x 2,2691 = 1,016,512

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


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