Divisors of 4004

Here we will define what "the divisors of 4004" means and show you how to find the divisors of 4004.

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 4004 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 4004:

4004 / Divisor = Quotient

To find all the divisors of 4004, we first divide 4004 by every whole number up to 4004 like so:

4004 / 1 = 4004
4004 / 2 = 2002
4004 / 3 = 1334.67
4004 / 4 = 1001
etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 4004.

The Divisors of 4004 are as follows:

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, and 4004.

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