Is 8093 a prime number? What are the divisors of 8093?

## Is 8093 a prime number?

Yes, 8093 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 8093, the only two divisors are 1 and 8093. Therefore 8093 is a prime number.

As a consequence, 8093 is only a multiple of 1 and 8093.

Since 8093 is a prime number, 8093 is also a deficient number, that is to say 8093 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8093 without 8093 itself (that is 1, by definition!).

## Parity of 8093

8093 is an odd number, because it is not evenly divisible by 2.

## Is 8093 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 8093 is about 89.961.

Thus, the square root of 8093 is not an integer, and therefore 8093 is not a square number.

Anyway, 8093 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8093?

The square of a number (here 8093) is the result of the product of this number (8093) by itself (i.e., 8093 × 8093); the square of 8093 is sometimes called "raising 8093 to the power 2", or "8093 squared".

The square of 8093 is 65 496 649 because 8093 × 8093 = 80932 = 65 496 649.

As a consequence, 8093 is the square root of 65 496 649.

## Number of digits of 8093

8093 is a number with 4 digits.

## What are the multiples of 8093?

The multiples of 8093 are all integers evenly divisible by 8093, that is all numbers such that the remainder of the division by 8093 is zero. There are infinitely many multiples of 8093. The smallest multiples of 8093 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8093 too, since 0 × 8093 = 0
• 8093: indeed, 8093 is a multiple of itself, since 8093 is evenly divisible by 8093 (we have 8093 / 8093 = 1, so the remainder of this division is indeed zero)
• 16 186: indeed, 16 186 = 8093 × 2
• 24 279: indeed, 24 279 = 8093 × 3
• 32 372: indeed, 32 372 = 8093 × 4
• 40 465: indeed, 40 465 = 8093 × 5
• etc.

## Nearest numbers from 8093

Find out whether some integer is a prime number