Factors of 1005 and 1008

Factoring Common Factors of 1005 and 1008

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 1005

Factors of 1005 =1, 3, 5, 15, 67, 201, 335, 1005

Distinct Factors of 1005 = 1, 3, 5, 15, 67, 201, 335, 1005,


Note: Factors of 1005 and Distinct factors are the same.

Factors of -1005 = -1, -3, -5, -15, -67, -201, -335, -1005,

Negative factors are just factors with negative sign.

How to calculate factors of 1005 and 1008

The factors are numbers that can divide 1005 without remainder.

Every number is divisible by itself and 1.

Calculating factors of 1005

1005/1 = 1005        gives remainder 0 and so are divisible by 1
1005/3 = 335        gives remainder 0 and so are divisible by 3
1005/5 = 201        gives remainder 0 and so are divisible by 5
1005/15 = 67        gives remainder 0 and so are divisible by 15
1005/67 = 15        gives remainder 0 and so are divisible by 67
1005/201 =       gives remainder 0 and so are divisible by 201
1005/335 =       gives remainder 0 and so are divisible by 335
1005/1005 =       gives remainder 0 and so are divisible by 1005

Other Integer Numbers, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 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, divides with remainder, so cannot be factors of 1005.

Only whole numbers and intergers can be converted to factors.


Factors of 1005 that add up to numbers

Factors of 1005 that add up to 1632 =1 + 3 + 5 + 15 + 67 + 201 + 335 + 1005

Factors of 1005 that add up to 4 = 1 + 3

Factors of 1005 that add up to 9 = 1 + 3 + 5

Factors of 1005 that add up to 24 = 1 + 3 + 5 + 15

Factor of 1005 in pairs

1 x 1005, 3 x 335, 5 x 201, 15 x 67, 67 x 15, 201 x 5, 335 x 3, 1005 x 1

1 and 1005 are a factor pair of 1005 since 1 x 1005= 1005

3 and 335 are a factor pair of 1005 since 3 x 335= 1005

5 and 201 are a factor pair of 1005 since 5 x 201= 1005

15 and 67 are a factor pair of 1005 since 15 x 67= 1005

67 and 15 are a factor pair of 1005 since 67 x 15= 1005

201 and 5 are a factor pair of 1005 since 201 x 5= 1005

335 and 3 are a factor pair of 1005 since 335 x 3= 1005

1005 and 1 are a factor pair of 1005 since 1005 x 1= 1005




We get factors of 1005 numbers by finding numbers that can divide 1005 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 1005 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 1005

Getting factors is done by dividing 1005 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.

1005  1006  1007  1008  1009  

1007  1008  1009  1010  1011