Q: What are the prime factors of the number 2,027,844?

 A: 2, 3, 7, 13, 619

Why are those the prime factors of the number 2,027,844?

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 2,027,844

2,027,844
Factor Arrows
21,013,922
Factor Arrows
2506,961
Factor Arrows
3168,987
Factor Arrows
356,329
Factor Arrows
78,047
Factor Arrows
13619

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, 7, 13, 619

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 13 x 619 = 2,027,844

This can also be written as 22 x 32 x 71 x 131 x 6191 = 2,027,844

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


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