Q: What are the prime factors of the number 2,250,816?

 A: 2, 3, 19, 617

Why are those the prime factors of the number 2,250,816?

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 2,250,816

2,250,816
Factor Arrows
21,125,408
Factor Arrows
2562,704
Factor Arrows
2281,352
Factor Arrows
2140,676
Factor Arrows
270,338
Factor Arrows
235,169
Factor Arrows
311,723
Factor Arrows
19617

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, 19, 617

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 3 x 19 x 617 = 2,250,816

This can also be written as 26 x 31 x 191 x 6171 = 2,250,816

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


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