Q: What are the prime factors of the number 2,311,272?

 A: 2, 3, 47, 683

Why are those the prime factors of the number 2,311,272?

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 2,311,272

2,311,272
Factor Arrows
21,155,636
Factor Arrows
2577,818
Factor Arrows
2288,909
Factor Arrows
396,303
Factor Arrows
332,101
Factor Arrows
47683

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, 47, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 47 x 683 = 2,311,272

This can also be written as 23 x 32 x 471 x 6831 = 2,311,272

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


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