Factors of 4004 and 4007

Factoring Common Factors of 4004 and 4007

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 4004

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

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


Note: Factors of 4004 and Distinct factors are the same.

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

Negative factors are just factors with negative sign.

How to calculate factors of 4004 and 4007

The factors are numbers that can divide 4004 without remainder.

Every number is divisible by itself and 1.

Calculating factors of 4004

4004/1 = 4004        gives remainder 0 and so are divisible by 1
4004/2 = 2002        gives remainder 0 and so are divisible by 2
4004/4 = 1001        gives remainder 0 and so are divisible by 4
4004/7 = 572        gives remainder 0 and so are divisible by 7
4004/11 = 364        gives remainder 0 and so are divisible by 11
4004/13 = 308        gives remainder 0 and so are divisible by 13
4004/14 = 286        gives remainder 0 and so are divisible by 14
4004/22 = 182        gives remainder 0 and so are divisible by 22
4004/26 = 154        gives remainder 0 and so are divisible by 26
4004/28 = 143        gives remainder 0 and so are divisible by 28
4004/44 = 91        gives remainder 0 and so are divisible by 44
4004/52 = 77        gives remainder 0 and so are divisible by 52
4004/77 = 52        gives remainder 0 and so are divisible by 77
4004/91 = 44        gives remainder 0 and so are divisible by 91
4004/143 = 28        gives remainder 0 and so are divisible by 143
4004/154 = 26        gives remainder 0 and so are divisible by 154
4004/182 = 22        gives remainder 0 and so are divisible by 182
4004/286 = 14        gives remainder 0 and so are divisible by 286
4004/308 = 13        gives remainder 0 and so are divisible by 308
4004/364 = 11        gives remainder 0 and so are divisible by 364
4004/572 = 7        gives remainder 0 and so are divisible by 572
4004/1001 = 4        gives remainder 0 and so are divisible by 1001
4004/2002 = 2        gives remainder 0 and so are divisible by 2002
4004/4004 = 1        gives remainder 0 and so are divisible by 4004

Other Integer Numbers, 3, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, divides with remainder, so cannot be factors of 4004.

Only whole numbers and intergers can be converted to factors.


Factors of 4004 that add up to numbers

Factors of 4004 that add up to 9408 =1 + 2 + 4 + 7 + 11 + 13 + 14 + 22 + 26 + 28 + 44 + 52 + 77 + 91 + 143 + 154 + 182 + 286 + 308 + 364 + 572 + 1001 + 2002 + 4004

Factors of 4004 that add up to 3 = 1 + 2

Factors of 4004 that add up to 7 = 1 + 2 + 4

Factors of 4004 that add up to 14 = 1 + 2 + 4 + 7

Factor of 4004 in pairs

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

1 and 4004 are a factor pair of 4004 since 1 x 4004= 4004

2 and 2002 are a factor pair of 4004 since 2 x 2002= 4004

4 and 1001 are a factor pair of 4004 since 4 x 1001= 4004

7 and 572 are a factor pair of 4004 since 7 x 572= 4004

11 and 364 are a factor pair of 4004 since 11 x 364= 4004

13 and 308 are a factor pair of 4004 since 13 x 308= 4004

14 and 286 are a factor pair of 4004 since 14 x 286= 4004

22 and 182 are a factor pair of 4004 since 22 x 182= 4004

26 and 154 are a factor pair of 4004 since 26 x 154= 4004

28 and 143 are a factor pair of 4004 since 28 x 143= 4004

44 and 91 are a factor pair of 4004 since 44 x 91= 4004

52 and 77 are a factor pair of 4004 since 52 x 77= 4004

77 and 52 are a factor pair of 4004 since 77 x 52= 4004

91 and 44 are a factor pair of 4004 since 91 x 44= 4004

143 and 28 are a factor pair of 4004 since 143 x 28= 4004

154 and 26 are a factor pair of 4004 since 154 x 26= 4004

182 and 22 are a factor pair of 4004 since 182 x 22= 4004

286 and 14 are a factor pair of 4004 since 286 x 14= 4004

308 and 13 are a factor pair of 4004 since 308 x 13= 4004

364 and 11 are a factor pair of 4004 since 364 x 11= 4004

572 and 7 are a factor pair of 4004 since 572 x 7= 4004

1001 and 4 are a factor pair of 4004 since 1001 x 4= 4004

2002 and 2 are a factor pair of 4004 since 2002 x 2= 4004

4004 and 1 are a factor pair of 4004 since 4004 x 1= 4004




We get factors of 4004 numbers by finding numbers that can divide 4004 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 4004 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 4004

Getting factors is done by dividing 4004 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.

4004  4005  4006  4007  4008  

4006  4007  4008  4009  4010