Is 1004 a prime number?

1 004 is an even number, because it is evenly divisible by 2: 1 004 / 2 = 502.

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 1 004 is about 31.686.

Thus, the square root of 1 004 is not an integer, and therefore 1 004 is not a square number.

The square of a number (here 1 004) is the result of the product of this number (1 004) by itself (i.e., 1 004 × 1 004); the square of 1 004 is sometimes called "raising 1 004 to the power 2", or "1 004 squared".

The square of 1 004 is 1 008 016 because 1 004 × 1 004 = 1 004² = 1 008 016.

As a consequence, 1 004 is the square root of 1 008 016.

1 004 is a number with 4 digits.

The multiples of 1 004 are all integers evenly divisible by 1 004, that is all numbers such that the remainder of the division by 1 004 is zero. There are infinitely many multiples of 1 004. The smallest multiples of 1 004 are:

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

• Preceding numbers: …1 002, 1 003
• Following numbers: 1 005, 1 006…

Nearest numbers from 1 004

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

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• 1 004 est-il un nombre premier ?