Is 1003 a prime number?

1 003 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 1 003 is about 31.670.

Thus, the square root of 1 003 is not an integer, and therefore 1 003 is not a square number.

The square of a number (here 1 003) is the result of the product of this number (1 003) by itself (i.e., 1 003 × 1 003); the square of 1 003 is sometimes called "raising 1 003 to the power 2", or "1 003 squared".

The square of 1 003 is 1 006 009 because 1 003 × 1 003 = 1 003² = 1 006 009.

As a consequence, 1 003 is the square root of 1 006 009.

1 003 is a number with 4 digits.

The multiples of 1 003 are all integers evenly divisible by 1 003, that is all numbers such that the remainder of the division by 1 003 is zero. There are infinitely many multiples of 1 003. The smallest multiples of 1 003 are:

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

• Preceding numbers: …1 001, 1 002
• Following numbers: 1 004, 1 005…

Nearest numbers from 1 003

• Preceding prime number: 997
• Following prime number: 1 009

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• 1 003 est-il un nombre premier ?