Is 11059 a prime number? What are the divisors of 11059?

## Is 11059 a prime number?

Yes, 11059 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 11059, the only two divisors are 1 and 11059. Therefore 11059 is a prime number.

As a consequence, 11059 is only a multiple of 1 and 11059.

Since 11059 is a prime number, 11059 is also a deficient number, that is to say 11059 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11059 without 11059 itself (that is 1, by definition!).

## Parity of 11059

11059 is an odd number, because it is not evenly divisible by 2.

## Is 11059 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 11059 is about 105.162.

Thus, the square root of 11059 is not an integer, and therefore 11059 is not a square number.

Anyway, 11059 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11059?

The square of a number (here 11059) is the result of the product of this number (11059) by itself (i.e., 11059 × 11059); the square of 11059 is sometimes called "raising 11059 to the power 2", or "11059 squared".

The square of 11059 is 122 301 481 because 11059 × 11059 = 110592 = 122 301 481.

As a consequence, 11059 is the square root of 122 301 481.

## Number of digits of 11059

11059 is a number with 5 digits.

## What are the multiples of 11059?

The multiples of 11059 are all integers evenly divisible by 11059, that is all numbers such that the remainder of the division by 11059 is zero. There are infinitely many multiples of 11059. The smallest multiples of 11059 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11059 too, since 0 × 11059 = 0
• 11059: indeed, 11059 is a multiple of itself, since 11059 is evenly divisible by 11059 (we have 11059 / 11059 = 1, so the remainder of this division is indeed zero)
• 22 118: indeed, 22 118 = 11059 × 2
• 33 177: indeed, 33 177 = 11059 × 3
• 44 236: indeed, 44 236 = 11059 × 4
• 55 295: indeed, 55 295 = 11059 × 5
• etc.

## Nearest numbers from 11059

Find out whether some integer is a prime number