Is 2004 a prime number?

2 004 is an even number, because it is evenly divisible by 2: 2 004 / 2 = 1 002.

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• 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 2 004 is about 44.766.

Thus, the square root of 2 004 is not an integer, and therefore 2 004 is not a square number.

The square of a number (here 2 004) is the result of the product of this number (2 004) by itself (i.e., 2 004 × 2 004); the square of 2 004 is sometimes called "raising 2 004 to the power 2", or "2 004 squared".

The square of 2 004 is 4 016 016 because 2 004 × 2 004 = 2 004² = 4 016 016.

As a consequence, 2 004 is the square root of 4 016 016.

2 004 is a number with 4 digits.

The multiples of 2 004 are all integers evenly divisible by 2 004, that is all numbers such that the remainder of the division by 2 004 is zero. There are infinitely many multiples of 2 004. The smallest multiples of 2 004 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 004 too, since 0 × 2 004 = 0
• 2 004: indeed, 2 004 is a multiple of itself, since 2 004 is evenly divisible by 2 004 (we have 2 004 / 2 004 = 1, so the remainder of this division is indeed zero)
• 4 008: indeed, 4 008 = 2 004 × 2
• 6 012: indeed, 6 012 = 2 004 × 3
• 8 016: indeed, 8 016 = 2 004 × 4
• 10 020: indeed, 10 020 = 2 004 × 5
• etc.

• Preceding numbers: …2 002, 2 003
• Following numbers: 2 005, 2 006…

Nearest numbers from 2 004

• Preceding prime number: 2 003
• Following prime number: 2 011

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• 2 004 est-il un nombre premier ?