Is 11159 a prime number? What are the divisors of 11159?

## Is 11159 a prime number?

Yes, 11159 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 11159, the only two divisors are 1 and 11159. Therefore 11159 is a prime number.

As a consequence, 11159 is only a multiple of 1 and 11159.

Since 11159 is a prime number, 11159 is also a deficient number, that is to say 11159 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11159 without 11159 itself (that is 1, by definition!).

## Parity of 11159

11159 is an odd number, because it is not evenly divisible by 2.

## Is 11159 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 11159 is about 105.636.

Thus, the square root of 11159 is not an integer, and therefore 11159 is not a square number.

Anyway, 11159 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11159?

The square of a number (here 11159) is the result of the product of this number (11159) by itself (i.e., 11159 × 11159); the square of 11159 is sometimes called "raising 11159 to the power 2", or "11159 squared".

The square of 11159 is 124 523 281 because 11159 × 11159 = 111592 = 124 523 281.

As a consequence, 11159 is the square root of 124 523 281.

## Number of digits of 11159

11159 is a number with 5 digits.

## What are the multiples of 11159?

The multiples of 11159 are all integers evenly divisible by 11159, that is all numbers such that the remainder of the division by 11159 is zero. There are infinitely many multiples of 11159. The smallest multiples of 11159 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11159 too, since 0 × 11159 = 0
• 11159: indeed, 11159 is a multiple of itself, since 11159 is evenly divisible by 11159 (we have 11159 / 11159 = 1, so the remainder of this division is indeed zero)
• 22 318: indeed, 22 318 = 11159 × 2
• 33 477: indeed, 33 477 = 11159 × 3
• 44 636: indeed, 44 636 = 11159 × 4
• 55 795: indeed, 55 795 = 11159 × 5
• etc.

## Nearest numbers from 11159

Find out whether some integer is a prime number