Is 5023 a prime number? What are the divisors of 5023?

## Is 5023 a prime number?

Yes, 5023 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 5023, the only two divisors are 1 and 5023. Therefore 5023 is a prime number.

As a consequence, 5023 is only a multiple of 1 and 5023.

Since 5023 is a prime number, 5023 is also a deficient number, that is to say 5023 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5023 without 5023 itself (that is 1, by definition!).

## Parity of 5023

5023 is an odd number, because it is not evenly divisible by 2.

## Is 5023 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 5023 is about 70.873.

Thus, the square root of 5023 is not an integer, and therefore 5023 is not a square number.

Anyway, 5023 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5023?

The square of a number (here 5023) is the result of the product of this number (5023) by itself (i.e., 5023 × 5023); the square of 5023 is sometimes called "raising 5023 to the power 2", or "5023 squared".

The square of 5023 is 25 230 529 because 5023 × 5023 = 50232 = 25 230 529.

As a consequence, 5023 is the square root of 25 230 529.

## Number of digits of 5023

5023 is a number with 4 digits.

## What are the multiples of 5023?

The multiples of 5023 are all integers evenly divisible by 5023, that is all numbers such that the remainder of the division by 5023 is zero. There are infinitely many multiples of 5023. The smallest multiples of 5023 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5023 too, since 0 × 5023 = 0
• 5023: indeed, 5023 is a multiple of itself, since 5023 is evenly divisible by 5023 (we have 5023 / 5023 = 1, so the remainder of this division is indeed zero)
• 10 046: indeed, 10 046 = 5023 × 2
• 15 069: indeed, 15 069 = 5023 × 3
• 20 092: indeed, 20 092 = 5023 × 4
• 25 115: indeed, 25 115 = 5023 × 5
• etc.

## Nearest numbers from 5023

Find out whether some integer is a prime number