Q: What are the prime factors of the number 2,040,444?

 A: 2, 3, 7, 2699

Why are those the prime factors of the number 2,040,444?

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 2,040,444

2,040,444
Factor Arrows
21,020,222
Factor Arrows
2510,111
Factor Arrows
3170,037
Factor Arrows
356,679
Factor Arrows
318,893
Factor Arrows
72,699

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, 2699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 2,699 = 2,040,444

This can also be written as 22 x 33 x 71 x 2,6991 = 2,040,444

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


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