Is 1008 a prime number?

1 008 is an even number, because it is evenly divisible by 2: 1 008 / 2 = 504.

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 1 008 is about 31.749.

Thus, the square root of 1 008 is not an integer, and therefore 1 008 is not a square number.

The square of a number (here 1 008) is the result of the product of this number (1 008) by itself (i.e., 1 008 × 1 008); the square of 1 008 is sometimes called "raising 1 008 to the power 2", or "1 008 squared".

The square of 1 008 is 1 016 064 because 1 008 × 1 008 = 1 008² = 1 016 064.

As a consequence, 1 008 is the square root of 1 016 064.

1 008 is a number with 4 digits.

The multiples of 1 008 are all integers evenly divisible by 1 008, that is all numbers such that the remainder of the division by 1 008 is zero. There are infinitely many multiples of 1 008. The smallest multiples of 1 008 are:

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

• Preceding numbers: …1 006, 1 007
• Following numbers: 1 009, 1 010…

Nearest numbers from 1 008

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

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• 1 008 est-il un nombre premier ?