Factors of 2004

Factoring Factors of 2004 in pairs

Use the form below to do your conversion, Convert Number to factors, separate numbers by comma and find factors of a number.

What are the Factors of 2004

Factors of 2004 =1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

Distinct Factors of 2004 = 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004,


Note: Factors of 2004 and Distinct factors are the same.

Factors of -2004 = -1, -2, -3, -4, -6, -12, -167, -334, -501, -668, -1002, -2004,

Negative factors are just factors with negative sign.

How to calculate factors of 2004

The factors are numbers that can divide 2004 without remainder.

Every number is divisible by itself and 1.

Calculating factors of 2004

2004/1 = 2004        gives remainder 0 and so are divisible by 1
2004/2 = 1002        gives remainder 0 and so are divisible by 2
2004/3 = 668        gives remainder 0 and so are divisible by 3
2004/4 = 501        gives remainder 0 and so are divisible by 4
2004/6 = 334        gives remainder 0 and so are divisible by 6
2004/12 = 167        gives remainder 0 and so are divisible by 12
2004/167 = 12        gives remainder 0 and so are divisible by 167
2004/334 =       gives remainder 0 and so are divisible by 334
2004/501 =       gives remainder 0 and so are divisible by 501
2004/668 =       gives remainder 0 and so are divisible by 668
2004/1002 =       gives remainder 0 and so are divisible by 1002
2004/2004 =       gives remainder 0 and so are divisible by 2004

Other Integer Numbers, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, divides with remainder, so cannot be factors of 2004.

Only whole numbers and intergers can be converted to factors.


Factors of 2004 that add up to numbers

Factors of 2004 that add up to 4704 =1 + 2 + 3 + 4 + 6 + 12 + 167 + 334 + 501 + 668 + 1002 + 2004

Factors of 2004 that add up to 3 = 1 + 2

Factors of 2004 that add up to 6 = 1 + 2 + 3

Factors of 2004 that add up to 10 = 1 + 2 + 3 + 4

Factor of 2004 in pairs

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

1 and 2004 are a factor pair of 2004 since 1 x 2004= 2004

2 and 1002 are a factor pair of 2004 since 2 x 1002= 2004

3 and 668 are a factor pair of 2004 since 3 x 668= 2004

4 and 501 are a factor pair of 2004 since 4 x 501= 2004

6 and 334 are a factor pair of 2004 since 6 x 334= 2004

12 and 167 are a factor pair of 2004 since 12 x 167= 2004

167 and 12 are a factor pair of 2004 since 167 x 12= 2004

334 and 6 are a factor pair of 2004 since 334 x 6= 2004

501 and 4 are a factor pair of 2004 since 501 x 4= 2004

668 and 3 are a factor pair of 2004 since 668 x 3= 2004

1002 and 2 are a factor pair of 2004 since 1002 x 2= 2004

2004 and 1 are a factor pair of 2004 since 2004 x 1= 2004




We get factors of 2004 numbers by finding numbers that can divide 2004 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 2004 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 2004

Getting factors is done by dividing 2004 with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

Factors are whole numbers or integers that are multiplied together to produce a given number. The integers or whole numbers multiplied are factors of the given number. If x multiplied by y = z then x and y are factors of z.

if for instance you want to find the factors of 20. You will have to find combination of numbers that when it is multiplied together will give 20. Example here is 5 and 4 because when you multiplied them, it will give you 20. so they are factors of the given number 20. Also 1 and 20, 2 and 10 are factors of 20 because 1 x 20 = 20 and 2 x 10 = 20. The factors of the given interger number 20 are 1, 2, 4, 5, 10, 20

To calculate factors using this tool, you will enter positive integers, because the calculator will only allow positive values, to calculate factors of a number. if you need to calculate negative numbers, you enter the positive value, get the factors and duplicate the answer yourself with all the give positive factors as negatives like as -5 and -6 as factors of number 30. On the other hand this calculator will give you both negative factors and positive integers for numbers. For instance, -2 , -3,-4 etc.

factors is like division in maths, because it gives all numbers that divide evenly into a number with no remainder. example is number 8. it is is evenly divisible by 2 and 4, which means that both 2 and 4 are factors of number 10.

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