Is 1123 a prime number? What are the divisors of 1123?

## Is 1123 a prime number?

Yes, 1123 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 1123, the only two divisors are 1 and 1123. Therefore 1123 is a prime number.

As a consequence, 1123 is only a multiple of 1 and 1123.

Since 1123 is a prime number, 1123 is also a deficient number, that is to say 1123 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1123 without 1123 itself (that is 1, by definition!).

## Parity of 1123

1123 is an odd number, because it is not evenly divisible by 2.

## Is 1123 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 1123 is about 33.511.

Thus, the square root of 1123 is not an integer, and therefore 1123 is not a square number.

Anyway, 1123 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1123?

The square of a number (here 1123) is the result of the product of this number (1123) by itself (i.e., 1123 × 1123); the square of 1123 is sometimes called "raising 1123 to the power 2", or "1123 squared".

The square of 1123 is 1 261 129 because 1123 × 1123 = 11232 = 1 261 129.

As a consequence, 1123 is the square root of 1 261 129.

## Number of digits of 1123

1123 is a number with 4 digits.

## What are the multiples of 1123?

The multiples of 1123 are all integers evenly divisible by 1123, that is all numbers such that the remainder of the division by 1123 is zero. There are infinitely many multiples of 1123. The smallest multiples of 1123 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1123 too, since 0 × 1123 = 0
• 1123: indeed, 1123 is a multiple of itself, since 1123 is evenly divisible by 1123 (we have 1123 / 1123 = 1, so the remainder of this division is indeed zero)
• 2 246: indeed, 2 246 = 1123 × 2
• 3 369: indeed, 3 369 = 1123 × 3
• 4 492: indeed, 4 492 = 1123 × 4
• 5 615: indeed, 5 615 = 1123 × 5
• etc.

## Nearest numbers from 1123

Find out whether some integer is a prime number