Is 2008 a prime number?

2 008 is an even number, because it is evenly divisible by 2: 2 008 / 2 = 1 004.

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 2 008 is about 44.811.

Thus, the square root of 2 008 is not an integer, and therefore 2 008 is not a square number.

The square of a number (here 2 008) is the result of the product of this number (2 008) by itself (i.e., 2 008 × 2 008); the square of 2 008 is sometimes called "raising 2 008 to the power 2", or "2 008 squared".

The square of 2 008 is 4 032 064 because 2 008 × 2 008 = 2 008² = 4 032 064.

As a consequence, 2 008 is the square root of 4 032 064.

2 008 is a number with 4 digits.

The multiples of 2 008 are all integers evenly divisible by 2 008, that is all numbers such that the remainder of the division by 2 008 is zero. There are infinitely many multiples of 2 008. The smallest multiples of 2 008 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 008 too, since 0 × 2 008 = 0
• 2 008: indeed, 2 008 is a multiple of itself, since 2 008 is evenly divisible by 2 008 (we have 2 008 / 2 008 = 1, so the remainder of this division is indeed zero)
• 4 016: indeed, 4 016 = 2 008 × 2
• 6 024: indeed, 6 024 = 2 008 × 3
• 8 032: indeed, 8 032 = 2 008 × 4
• 10 040: indeed, 10 040 = 2 008 × 5
• etc.

• Preceding numbers: …2 006, 2 007
• Following numbers: 2 009, 2 010…

Nearest numbers from 2 008

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

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• 2 008 est-il un nombre premier ?