Is 11003 a prime number? What are the divisors of 11003?

## Is 11003 a prime number?

Yes, 11003 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 11003, the only two divisors are 1 and 11003. Therefore 11003 is a prime number.

As a consequence, 11003 is only a multiple of 1 and 11003.

Since 11003 is a prime number, 11003 is also a deficient number, that is to say 11003 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11003 without 11003 itself (that is 1, by definition!).

## Parity of 11003

11003 is an odd number, because it is not evenly divisible by 2.

## Is 11003 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 11003 is about 104.895.

Thus, the square root of 11003 is not an integer, and therefore 11003 is not a square number.

Anyway, 11003 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11003?

The square of a number (here 11003) is the result of the product of this number (11003) by itself (i.e., 11003 × 11003); the square of 11003 is sometimes called "raising 11003 to the power 2", or "11003 squared".

The square of 11003 is 121 066 009 because 11003 × 11003 = 110032 = 121 066 009.

As a consequence, 11003 is the square root of 121 066 009.

## Number of digits of 11003

11003 is a number with 5 digits.

## What are the multiples of 11003?

The multiples of 11003 are all integers evenly divisible by 11003, that is all numbers such that the remainder of the division by 11003 is zero. There are infinitely many multiples of 11003. The smallest multiples of 11003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11003 too, since 0 × 11003 = 0
• 11003: indeed, 11003 is a multiple of itself, since 11003 is evenly divisible by 11003 (we have 11003 / 11003 = 1, so the remainder of this division is indeed zero)
• 22 006: indeed, 22 006 = 11003 × 2
• 33 009: indeed, 33 009 = 11003 × 3
• 44 012: indeed, 44 012 = 11003 × 4
• 55 015: indeed, 55 015 = 11003 × 5
• etc.

## Nearest numbers from 11003

Find out whether some integer is a prime number