Is 11831 a prime number? What are the divisors of 11831?

## Is 11831 a prime number?

Yes, 11831 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 11831, the only two divisors are 1 and 11831. Therefore 11831 is a prime number.

As a consequence, 11831 is only a multiple of 1 and 11831.

Since 11831 is a prime number, 11831 is also a deficient number, that is to say 11831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11831 without 11831 itself (that is 1, by definition!).

## Parity of 11831

11831 is an odd number, because it is not evenly divisible by 2.

## Is 11831 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 11831 is about 108.770.

Thus, the square root of 11831 is not an integer, and therefore 11831 is not a square number.

Anyway, 11831 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11831?

The square of a number (here 11831) is the result of the product of this number (11831) by itself (i.e., 11831 × 11831); the square of 11831 is sometimes called "raising 11831 to the power 2", or "11831 squared".

The square of 11831 is 139 972 561 because 11831 × 11831 = 118312 = 139 972 561.

As a consequence, 11831 is the square root of 139 972 561.

## Number of digits of 11831

11831 is a number with 5 digits.

## What are the multiples of 11831?

The multiples of 11831 are all integers evenly divisible by 11831, that is all numbers such that the remainder of the division by 11831 is zero. There are infinitely many multiples of 11831. The smallest multiples of 11831 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11831 too, since 0 × 11831 = 0
• 11831: indeed, 11831 is a multiple of itself, since 11831 is evenly divisible by 11831 (we have 11831 / 11831 = 1, so the remainder of this division is indeed zero)
• 23 662: indeed, 23 662 = 11831 × 2
• 35 493: indeed, 35 493 = 11831 × 3
• 47 324: indeed, 47 324 = 11831 × 4
• 59 155: indeed, 59 155 = 11831 × 5
• etc.

## Nearest numbers from 11831

Find out whether some integer is a prime number