Is 8231 a prime number? What are the divisors of 8231?

## Is 8231 a prime number?

Yes, 8231 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 8231, the only two divisors are 1 and 8231. Therefore 8231 is a prime number.

As a consequence, 8231 is only a multiple of 1 and 8231.

Since 8231 is a prime number, 8231 is also a deficient number, that is to say 8231 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8231 without 8231 itself (that is 1, by definition!).

## Parity of 8231

8231 is an odd number, because it is not evenly divisible by 2.

## Is 8231 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 8231 is about 90.725.

Thus, the square root of 8231 is not an integer, and therefore 8231 is not a square number.

Anyway, 8231 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8231?

The square of a number (here 8231) is the result of the product of this number (8231) by itself (i.e., 8231 × 8231); the square of 8231 is sometimes called "raising 8231 to the power 2", or "8231 squared".

The square of 8231 is 67 749 361 because 8231 × 8231 = 82312 = 67 749 361.

As a consequence, 8231 is the square root of 67 749 361.

## Number of digits of 8231

8231 is a number with 4 digits.

## What are the multiples of 8231?

The multiples of 8231 are all integers evenly divisible by 8231, that is all numbers such that the remainder of the division by 8231 is zero. There are infinitely many multiples of 8231. The smallest multiples of 8231 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8231 too, since 0 × 8231 = 0
• 8231: indeed, 8231 is a multiple of itself, since 8231 is evenly divisible by 8231 (we have 8231 / 8231 = 1, so the remainder of this division is indeed zero)
• 16 462: indeed, 16 462 = 8231 × 2
• 24 693: indeed, 24 693 = 8231 × 3
• 32 924: indeed, 32 924 = 8231 × 4
• 41 155: indeed, 41 155 = 8231 × 5
• etc.

## Nearest numbers from 8231

Find out whether some integer is a prime number