Is 11003 a prime number?

11 003 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 11 003 is about 104.895.

Thus, the square root of 11 003 is not an integer, and therefore 11 003 is not a square number.

Anyway, 11 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 11 003) is the result of the product of this number (11 003) by itself (i.e., 11 003 × 11 003); the square of 11 003 is sometimes called "raising 11 003 to the power 2", or "11 003 squared".

The square of 11 003 is 121 066 009 because 11 003 × 11 003 = 11 003² = 121 066 009.

As a consequence, 11 003 is the square root of 121 066 009.

11 003 is a number with 5 digits.

The multiples of 11 003 are all integers evenly divisible by 11 003, that is all numbers such that the remainder of the division by 11 003 is zero. There are infinitely many multiples of 11 003. The smallest multiples of 11 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11 003 too, since 0 × 11 003 = 0
• 11 003: indeed, 11 003 is a multiple of itself, since 11 003 is evenly divisible by 11 003 (we have 11 003 / 11 003 = 1, so the remainder of this division is indeed zero)
• 22 006: indeed, 22 006 = 11 003 × 2
• 33 009: indeed, 33 009 = 11 003 × 3
• 44 012: indeed, 44 012 = 11 003 × 4
• 55 015: indeed, 55 015 = 11 003 × 5
• etc.

• Preceding numbers: …11 001, 11 002
• Following numbers: 11 004, 11 005…

Nearest numbers from 11 003

• Preceding prime number: 10 993
• Following prime number: 11 027

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• 11 003 est-il un nombre premier ?