Is 5231 a prime number? What are the divisors of 5231?

## Is 5231 a prime number?

Yes, 5231 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 5231, the only two divisors are 1 and 5231. Therefore 5231 is a prime number.

As a consequence, 5231 is only a multiple of 1 and 5231.

Since 5231 is a prime number, 5231 is also a deficient number, that is to say 5231 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5231 without 5231 itself (that is 1, by definition!).

## Parity of 5231

5231 is an odd number, because it is not evenly divisible by 2.

## Is 5231 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 5231 is about 72.326.

Thus, the square root of 5231 is not an integer, and therefore 5231 is not a square number.

Anyway, 5231 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5231?

The square of a number (here 5231) is the result of the product of this number (5231) by itself (i.e., 5231 × 5231); the square of 5231 is sometimes called "raising 5231 to the power 2", or "5231 squared".

The square of 5231 is 27 363 361 because 5231 × 5231 = 52312 = 27 363 361.

As a consequence, 5231 is the square root of 27 363 361.

## Number of digits of 5231

5231 is a number with 4 digits.

## What are the multiples of 5231?

The multiples of 5231 are all integers evenly divisible by 5231, that is all numbers such that the remainder of the division by 5231 is zero. There are infinitely many multiples of 5231. The smallest multiples of 5231 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5231 too, since 0 × 5231 = 0
• 5231: indeed, 5231 is a multiple of itself, since 5231 is evenly divisible by 5231 (we have 5231 / 5231 = 1, so the remainder of this division is indeed zero)
• 10 462: indeed, 10 462 = 5231 × 2
• 15 693: indeed, 15 693 = 5231 × 3
• 20 924: indeed, 20 924 = 5231 × 4
• 26 155: indeed, 26 155 = 5231 × 5
• etc.

## Nearest numbers from 5231

Find out whether some integer is a prime number