Is 2003 a prime number?

2 003 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 2 003 is about 44.755.

Thus, the square root of 2 003 is not an integer, and therefore 2 003 is not a square number.

Anyway, 2 003 is a prime number, and a prime number cannot be a perfect square.

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

The square of 2 003 is 4 012 009 because 2 003 × 2 003 = 2 003² = 4 012 009.

As a consequence, 2 003 is the square root of 4 012 009.

2 003 is a number with 4 digits.

The multiples of 2 003 are all integers evenly divisible by 2 003, that is all numbers such that the remainder of the division by 2 003 is zero. There are infinitely many multiples of 2 003. The smallest multiples of 2 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 003 too, since 0 × 2 003 = 0
• 2 003: indeed, 2 003 is a multiple of itself, since 2 003 is evenly divisible by 2 003 (we have 2 003 / 2 003 = 1, so the remainder of this division is indeed zero)
• 4 006: indeed, 4 006 = 2 003 × 2
• 6 009: indeed, 6 009 = 2 003 × 3
• 8 012: indeed, 8 012 = 2 003 × 4
• 10 015: indeed, 10 015 = 2 003 × 5
• etc.

• Preceding numbers: …2 001, 2 002
• Following numbers: 2 004, 2 005…

Nearest numbers from 2 003

• Preceding prime number: 1 999
• Following prime number: 2 011

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• 2 003 est-il un nombre premier ?