Is 1103 a prime number? What are the divisors of 1103?

## Is 1103 a prime number?

Yes, 1103 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 1103, the only two divisors are 1 and 1103. Therefore 1103 is a prime number.

As a consequence, 1103 is only a multiple of 1 and 1103.

Since 1103 is a prime number, 1103 is also a deficient number, that is to say 1103 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1103 without 1103 itself (that is 1, by definition!).

## Parity of 1103

1103 is an odd number, because it is not evenly divisible by 2.

## Is 1103 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 1103 is about 33.211.

Thus, the square root of 1103 is not an integer, and therefore 1103 is not a square number.

Anyway, 1103 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1103?

The square of a number (here 1103) is the result of the product of this number (1103) by itself (i.e., 1103 × 1103); the square of 1103 is sometimes called "raising 1103 to the power 2", or "1103 squared".

The square of 1103 is 1 216 609 because 1103 × 1103 = 11032 = 1 216 609.

As a consequence, 1103 is the square root of 1 216 609.

## Number of digits of 1103

1103 is a number with 4 digits.

## What are the multiples of 1103?

The multiples of 1103 are all integers evenly divisible by 1103, that is all numbers such that the remainder of the division by 1103 is zero. There are infinitely many multiples of 1103. The smallest multiples of 1103 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1103 too, since 0 × 1103 = 0
• 1103: indeed, 1103 is a multiple of itself, since 1103 is evenly divisible by 1103 (we have 1103 / 1103 = 1, so the remainder of this division is indeed zero)
• 2 206: indeed, 2 206 = 1103 × 2
• 3 309: indeed, 3 309 = 1103 × 3
• 4 412: indeed, 4 412 = 1103 × 4
• 5 515: indeed, 5 515 = 1103 × 5
• etc.

## Nearest numbers from 1103

Find out whether some integer is a prime number