Is 1093 a prime number? What are the divisors of 1093?

## Is 1093 a prime number?

Yes, 1093 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 1093, the only two divisors are 1 and 1093. Therefore 1093 is a prime number.

As a consequence, 1093 is only a multiple of 1 and 1093.

Since 1093 is a prime number, 1093 is also a deficient number, that is to say 1093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1093 without 1093 itself (that is 1, by definition!).

## Parity of 1093

1093 is an odd number, because it is not evenly divisible by 2.

## Is 1093 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 1093 is about 33.061.

Thus, the square root of 1093 is not an integer, and therefore 1093 is not a square number.

Anyway, 1093 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1093?

The square of a number (here 1093) is the result of the product of this number (1093) by itself (i.e., 1093 × 1093); the square of 1093 is sometimes called "raising 1093 to the power 2", or "1093 squared".

The square of 1093 is 1 194 649 because 1093 × 1093 = 10932 = 1 194 649.

As a consequence, 1093 is the square root of 1 194 649.

## Number of digits of 1093

1093 is a number with 4 digits.

## What are the multiples of 1093?

The multiples of 1093 are all integers evenly divisible by 1093, that is all numbers such that the remainder of the division by 1093 is zero. There are infinitely many multiples of 1093. The smallest multiples of 1093 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1093 too, since 0 × 1093 = 0
• 1093: indeed, 1093 is a multiple of itself, since 1093 is evenly divisible by 1093 (we have 1093 / 1093 = 1, so the remainder of this division is indeed zero)
• 2 186: indeed, 2 186 = 1093 × 2
• 3 279: indeed, 3 279 = 1093 × 3
• 4 372: indeed, 4 372 = 1093 × 4
• 5 465: indeed, 5 465 = 1093 × 5
• etc.

## Nearest numbers from 1093

Find out whether some integer is a prime number