Is 11149 a prime number? What are the divisors of 11149?

## Is 11149 a prime number?

Yes, 11149 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 11149, the only two divisors are 1 and 11149. Therefore 11149 is a prime number.

As a consequence, 11149 is only a multiple of 1 and 11149.

Since 11149 is a prime number, 11149 is also a deficient number, that is to say 11149 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11149 without 11149 itself (that is 1, by definition!).

## Parity of 11149

11149 is an odd number, because it is not evenly divisible by 2.

## Is 11149 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 11149 is about 105.589.

Thus, the square root of 11149 is not an integer, and therefore 11149 is not a square number.

Anyway, 11149 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11149?

The square of a number (here 11149) is the result of the product of this number (11149) by itself (i.e., 11149 × 11149); the square of 11149 is sometimes called "raising 11149 to the power 2", or "11149 squared".

The square of 11149 is 124 300 201 because 11149 × 11149 = 111492 = 124 300 201.

As a consequence, 11149 is the square root of 124 300 201.

## Number of digits of 11149

11149 is a number with 5 digits.

## What are the multiples of 11149?

The multiples of 11149 are all integers evenly divisible by 11149, that is all numbers such that the remainder of the division by 11149 is zero. There are infinitely many multiples of 11149. The smallest multiples of 11149 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11149 too, since 0 × 11149 = 0
• 11149: indeed, 11149 is a multiple of itself, since 11149 is evenly divisible by 11149 (we have 11149 / 11149 = 1, so the remainder of this division is indeed zero)
• 22 298: indeed, 22 298 = 11149 × 2
• 33 447: indeed, 33 447 = 11149 × 3
• 44 596: indeed, 44 596 = 11149 × 4
• 55 745: indeed, 55 745 = 11149 × 5
• etc.

## Nearest numbers from 11149

Find out whether some integer is a prime number