Is 5003 a prime number? What are the divisors of 5003?

## Is 5003 a prime number?

Yes, 5003 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 5003, the only two divisors are 1 and 5003. Therefore 5003 is a prime number.

As a consequence, 5003 is only a multiple of 1 and 5003.

Since 5003 is a prime number, 5003 is also a deficient number, that is to say 5003 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5003 without 5003 itself (that is 1, by definition!).

## Parity of 5003

5003 is an odd number, because it is not evenly divisible by 2.

## Is 5003 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 5003 is about 70.732.

Thus, the square root of 5003 is not an integer, and therefore 5003 is not a square number.

Anyway, 5003 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5003?

The square of a number (here 5003) is the result of the product of this number (5003) by itself (i.e., 5003 × 5003); the square of 5003 is sometimes called "raising 5003 to the power 2", or "5003 squared".

The square of 5003 is 25 030 009 because 5003 × 5003 = 50032 = 25 030 009.

As a consequence, 5003 is the square root of 25 030 009.

## Number of digits of 5003

5003 is a number with 4 digits.

## What are the multiples of 5003?

The multiples of 5003 are all integers evenly divisible by 5003, that is all numbers such that the remainder of the division by 5003 is zero. There are infinitely many multiples of 5003. The smallest multiples of 5003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5003 too, since 0 × 5003 = 0
• 5003: indeed, 5003 is a multiple of itself, since 5003 is evenly divisible by 5003 (we have 5003 / 5003 = 1, so the remainder of this division is indeed zero)
• 10 006: indeed, 10 006 = 5003 × 2
• 15 009: indeed, 15 009 = 5003 × 3
• 20 012: indeed, 20 012 = 5003 × 4
• 25 015: indeed, 25 015 = 5003 × 5
• etc.

## Nearest numbers from 5003

Find out whether some integer is a prime number