Is 5021 a prime number? What are the divisors of 5021?

## Is 5021 a prime number?

Yes, 5021 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 5021, the only two divisors are 1 and 5021. Therefore 5021 is a prime number.

As a consequence, 5021 is only a multiple of 1 and 5021.

Since 5021 is a prime number, 5021 is also a deficient number, that is to say 5021 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5021 without 5021 itself (that is 1, by definition!).

## Parity of 5021

5021 is an odd number, because it is not evenly divisible by 2.

## Is 5021 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 5021 is about 70.859.

Thus, the square root of 5021 is not an integer, and therefore 5021 is not a square number.

Anyway, 5021 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5021?

The square of a number (here 5021) is the result of the product of this number (5021) by itself (i.e., 5021 × 5021); the square of 5021 is sometimes called "raising 5021 to the power 2", or "5021 squared".

The square of 5021 is 25 210 441 because 5021 × 5021 = 50212 = 25 210 441.

As a consequence, 5021 is the square root of 25 210 441.

## Number of digits of 5021

5021 is a number with 4 digits.

## What are the multiples of 5021?

The multiples of 5021 are all integers evenly divisible by 5021, that is all numbers such that the remainder of the division by 5021 is zero. There are infinitely many multiples of 5021. The smallest multiples of 5021 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5021 too, since 0 × 5021 = 0
• 5021: indeed, 5021 is a multiple of itself, since 5021 is evenly divisible by 5021 (we have 5021 / 5021 = 1, so the remainder of this division is indeed zero)
• 10 042: indeed, 10 042 = 5021 × 2
• 15 063: indeed, 15 063 = 5021 × 3
• 20 084: indeed, 20 084 = 5021 × 4
• 25 105: indeed, 25 105 = 5021 × 5
• etc.

## Nearest numbers from 5021

Find out whether some integer is a prime number