Is 1193 a prime number? What are the divisors of 1193?

## Is 1193 a prime number?

Yes, 1193 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 1193, the only two divisors are 1 and 1193. Therefore 1193 is a prime number.

As a consequence, 1193 is only a multiple of 1 and 1193.

Since 1193 is a prime number, 1193 is also a deficient number, that is to say 1193 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1193 without 1193 itself (that is 1, by definition!).

## Parity of 1193

1193 is an odd number, because it is not evenly divisible by 2.

## Is 1193 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 1193 is about 34.540.

Thus, the square root of 1193 is not an integer, and therefore 1193 is not a square number.

Anyway, 1193 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1193?

The square of a number (here 1193) is the result of the product of this number (1193) by itself (i.e., 1193 × 1193); the square of 1193 is sometimes called "raising 1193 to the power 2", or "1193 squared".

The square of 1193 is 1 423 249 because 1193 × 1193 = 11932 = 1 423 249.

As a consequence, 1193 is the square root of 1 423 249.

## Number of digits of 1193

1193 is a number with 4 digits.

## What are the multiples of 1193?

The multiples of 1193 are all integers evenly divisible by 1193, that is all numbers such that the remainder of the division by 1193 is zero. There are infinitely many multiples of 1193. The smallest multiples of 1193 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1193 too, since 0 × 1193 = 0
• 1193: indeed, 1193 is a multiple of itself, since 1193 is evenly divisible by 1193 (we have 1193 / 1193 = 1, so the remainder of this division is indeed zero)
• 2 386: indeed, 2 386 = 1193 × 2
• 3 579: indeed, 3 579 = 1193 × 3
• 4 772: indeed, 4 772 = 1193 × 4
• 5 965: indeed, 5 965 = 1193 × 5
• etc.

## Nearest numbers from 1193

Find out whether some integer is a prime number