Q: What are the prime factors of the number 2,025,040?

 A: 2, 5, 17, 1489

Why are those the prime factors of the number 2,025,040?

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 2,025,040

2,025,040
Factor Arrows
21,012,520
Factor Arrows
2506,260
Factor Arrows
2253,130
Factor Arrows
2126,565
Factor Arrows
525,313
Factor Arrows
171,489

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, 17, 1489

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 1,489 = 2,025,040

This can also be written as 24 x 51 x 171 x 1,4891 = 2,025,040

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


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