Divisors of 2004

Here we will define what "the divisors of 2004" means and show you how to find the divisors of 2004.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 2004 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 2004:

2004 / Divisor = Quotient

To find all the divisors of 2004, we first divide 2004 by every whole number up to 2004 like so:

2004 / 1 = 2004
2004 / 2 = 1002
2004 / 3 = 668
2004 / 4 = 501
etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 2004.

The Divisors of 2004 are as follows:

1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, and 2004.

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Divisors of 2005
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