Q: What are the prime factors of the number 1,995,040?

 A: 2, 5, 37, 337

Why are those the prime factors of the number 1,995,040?

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 1,995,040

1,995,040
Factor Arrows
2997,520
Factor Arrows
2498,760
Factor Arrows
2249,380
Factor Arrows
2124,690
Factor Arrows
262,345
Factor Arrows
512,469
Factor Arrows
37337

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, 5, 37, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 37 x 337 = 1,995,040

This can also be written as 25 x 51 x 371 x 3371 = 1,995,040

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


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