# Divisors of 2010

## Divisors of 2010

The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :

Accordingly:

2010 is multiplo of 1

2010 is multiplo of 2

2010 is multiplo of 3

2010 is multiplo of 5

2010 is multiplo of 6

2010 is multiplo of 10

2010 is multiplo of 15

2010 is multiplo of 30

2010 is multiplo of 67

2010 is multiplo of 134

2010 is multiplo of 201

2010 is multiplo of 335

2010 is multiplo of 402

2010 is multiplo of 670

2010 is multiplo of 1005

2010 has 15 positive divisors

## Parity of 2010

In addition we can say of the number 2010 that it is even

2010 is an even number, as it is divisible by 2 : 2010/2 = 1005

## The factors for 2010

The factors for 2010 are all the numbers between -2010 and 2010 , which divide 2010 without leaving any remainder. Since 2010 divided by -2010 is an integer, -2010 is a factor of 2010 .

Since 2010 divided by -2010 is a whole number, -2010 is a factor of 2010

Since 2010 divided by -1005 is a whole number, -1005 is a factor of 2010

Since 2010 divided by -670 is a whole number, -670 is a factor of 2010

Since 2010 divided by -402 is a whole number, -402 is a factor of 2010

Since 2010 divided by -335 is a whole number, -335 is a factor of 2010

Since 2010 divided by -201 is a whole number, -201 is a factor of 2010

Since 2010 divided by -134 is a whole number, -134 is a factor of 2010

Since 2010 divided by -67 is a whole number, -67 is a factor of 2010

Since 2010 divided by -30 is a whole number, -30 is a factor of 2010

Since 2010 divided by -15 is a whole number, -15 is a factor of 2010

Since 2010 divided by -10 is a whole number, -10 is a factor of 2010

Since 2010 divided by -6 is a whole number, -6 is a factor of 2010

Since 2010 divided by -5 is a whole number, -5 is a factor of 2010

Since 2010 divided by -3 is a whole number, -3 is a factor of 2010

Since 2010 divided by -2 is a whole number, -2 is a factor of 2010

Since 2010 divided by -1 is a whole number, -1 is a factor of 2010

Since 2010 divided by 1 is a whole number, 1 is a factor of 2010

Since 2010 divided by 2 is a whole number, 2 is a factor of 2010

Since 2010 divided by 3 is a whole number, 3 is a factor of 2010

Since 2010 divided by 5 is a whole number, 5 is a factor of 2010

Since 2010 divided by 6 is a whole number, 6 is a factor of 2010

Since 2010 divided by 10 is a whole number, 10 is a factor of 2010

Since 2010 divided by 15 is a whole number, 15 is a factor of 2010

Since 2010 divided by 30 is a whole number, 30 is a factor of 2010

Since 2010 divided by 67 is a whole number, 67 is a factor of 2010

Since 2010 divided by 134 is a whole number, 134 is a factor of 2010

Since 2010 divided by 201 is a whole number, 201 is a factor of 2010

Since 2010 divided by 335 is a whole number, 335 is a factor of 2010

Since 2010 divided by 402 is a whole number, 402 is a factor of 2010

Since 2010 divided by 670 is a whole number, 670 is a factor of 2010

Since 2010 divided by 1005 is a whole number, 1005 is a factor of 2010

## What are the multiples of 2010?

Multiples of 2010 are all integers divisible by 2010 , i.e. the remainder of the full division by 2010 is zero. There are infinite multiples of 2010. The smallest multiples of 2010 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2010 since 0 × 2010 = 0

2010 : in fact, 2010 is a multiple of itself, since 2010 is divisible by 2010 (it was 2010 / 2010 = 1, so the rest of this division is zero)

4020: in fact, 4020 = 2010 × 2

6030: in fact, 6030 = 2010 × 3

8040: in fact, 8040 = 2010 × 4

10050: in fact, 10050 = 2010 × 5

etc.

## Is 2010 a prime number?

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 2010, the answer is: No, 2010 is not a prime number.

## How do you determine if a number is prime?

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 2010). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 44.833 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.