Is 11093 a prime number? What are the divisors of 11093?

## Is 11093 a prime number?

Yes, 11093 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 11093, the only two divisors are 1 and 11093. Therefore 11093 is a prime number.

As a consequence, 11093 is only a multiple of 1 and 11093.

Since 11093 is a prime number, 11093 is also a deficient number, that is to say 11093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11093 without 11093 itself (that is 1, by definition!).

## Parity of 11093

11093 is an odd number, because it is not evenly divisible by 2.

## Is 11093 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 11093 is about 105.323.

Thus, the square root of 11093 is not an integer, and therefore 11093 is not a square number.

Anyway, 11093 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11093?

The square of a number (here 11093) is the result of the product of this number (11093) by itself (i.e., 11093 × 11093); the square of 11093 is sometimes called "raising 11093 to the power 2", or "11093 squared".

The square of 11093 is 123 054 649 because 11093 × 11093 = 110932 = 123 054 649.

As a consequence, 11093 is the square root of 123 054 649.

## Number of digits of 11093

11093 is a number with 5 digits.

## What are the multiples of 11093?

The multiples of 11093 are all integers evenly divisible by 11093, that is all numbers such that the remainder of the division by 11093 is zero. There are infinitely many multiples of 11093. The smallest multiples of 11093 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11093 too, since 0 × 11093 = 0
• 11093: indeed, 11093 is a multiple of itself, since 11093 is evenly divisible by 11093 (we have 11093 / 11093 = 1, so the remainder of this division is indeed zero)
• 22 186: indeed, 22 186 = 11093 × 2
• 33 279: indeed, 33 279 = 11093 × 3
• 44 372: indeed, 44 372 = 11093 × 4
• 55 465: indeed, 55 465 = 11093 × 5
• etc.

## Nearest numbers from 11093

Find out whether some integer is a prime number