Is 8011 a prime number? What are the divisors of 8011?

## Is 8011 a prime number?

Yes, 8011 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 8011, the only two divisors are 1 and 8011. Therefore 8011 is a prime number.

As a consequence, 8011 is only a multiple of 1 and 8011.

Since 8011 is a prime number, 8011 is also a deficient number, that is to say 8011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8011 without 8011 itself (that is 1, by definition!).

## Parity of 8011

8011 is an odd number, because it is not evenly divisible by 2.

## Is 8011 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 8011 is about 89.504.

Thus, the square root of 8011 is not an integer, and therefore 8011 is not a square number.

Anyway, 8011 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8011?

The square of a number (here 8011) is the result of the product of this number (8011) by itself (i.e., 8011 × 8011); the square of 8011 is sometimes called "raising 8011 to the power 2", or "8011 squared".

The square of 8011 is 64 176 121 because 8011 × 8011 = 80112 = 64 176 121.

As a consequence, 8011 is the square root of 64 176 121.

## Number of digits of 8011

8011 is a number with 4 digits.

## What are the multiples of 8011?

The multiples of 8011 are all integers evenly divisible by 8011, that is all numbers such that the remainder of the division by 8011 is zero. There are infinitely many multiples of 8011. The smallest multiples of 8011 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8011 too, since 0 × 8011 = 0
• 8011: indeed, 8011 is a multiple of itself, since 8011 is evenly divisible by 8011 (we have 8011 / 8011 = 1, so the remainder of this division is indeed zero)
• 16 022: indeed, 16 022 = 8011 × 2
• 24 033: indeed, 24 033 = 8011 × 3
• 32 044: indeed, 32 044 = 8011 × 4
• 40 055: indeed, 40 055 = 8011 × 5
• etc.

## Nearest numbers from 8011

Find out whether some integer is a prime number