Is 5004 a prime number?

5 004 is an even number, because it is evenly divisible by 2: 5 004 / 2 = 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 5 004 is about 70.739.

Thus, the square root of 5 004 is not an integer, and therefore 5 004 is not a square number.

The square of a number (here 5 004) is the result of the product of this number (5 004) by itself (i.e., 5 004 × 5 004); the square of 5 004 is sometimes called "raising 5 004 to the power 2", or "5 004 squared".

The square of 5 004 is 25 040 016 because 5 004 × 5 004 = 5 004² = 25 040 016.

As a consequence, 5 004 is the square root of 25 040 016.

5 004 is a number with 4 digits.

The multiples of 5 004 are all integers evenly divisible by 5 004, that is all numbers such that the remainder of the division by 5 004 is zero. There are infinitely many multiples of 5 004. The smallest multiples of 5 004 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 004 too, since 0 × 5 004 = 0
• 5 004: indeed, 5 004 is a multiple of itself, since 5 004 is evenly divisible by 5 004 (we have 5 004 / 5 004 = 1, so the remainder of this division is indeed zero)
• 10 008: indeed, 10 008 = 5 004 × 2
• 15 012: indeed, 15 012 = 5 004 × 3
• 20 016: indeed, 20 016 = 5 004 × 4
• 25 020: indeed, 25 020 = 5 004 × 5
• etc.

• Preceding numbers: …5 002, 5 003
• Following numbers: 5 005, 5 006…

Nearest numbers from 5 004

• Preceding prime number: 5 003
• Following prime number: 5 009

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• 5 004 est-il un nombre premier ?