Is 5005 a prime number?

5 005 is an odd number, because it is not evenly divisible by 2.

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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 5 005 is about 70.746.

Thus, the square root of 5 005 is not an integer, and therefore 5 005 is not a square number.

The square of a number (here 5 005) is the result of the product of this number (5 005) by itself (i.e., 5 005 × 5 005); the square of 5 005 is sometimes called "raising 5 005 to the power 2", or "5 005 squared".

The square of 5 005 is 25 050 025 because 5 005 × 5 005 = 5 005² = 25 050 025.

As a consequence, 5 005 is the square root of 25 050 025.

5 005 is a number with 4 digits.

The multiples of 5 005 are all integers evenly divisible by 5 005, that is all numbers such that the remainder of the division by 5 005 is zero. There are infinitely many multiples of 5 005. The smallest multiples of 5 005 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 005 too, since 0 × 5 005 = 0
• 5 005: indeed, 5 005 is a multiple of itself, since 5 005 is evenly divisible by 5 005 (we have 5 005 / 5 005 = 1, so the remainder of this division is indeed zero)
• 10 010: indeed, 10 010 = 5 005 × 2
• 15 015: indeed, 15 015 = 5 005 × 3
• 20 020: indeed, 20 020 = 5 005 × 4
• 25 025: indeed, 25 025 = 5 005 × 5
• etc.

• Preceding numbers: …5 003, 5 004
• Following numbers: 5 006, 5 007…

Nearest numbers from 5 005

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

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• 5 005 est-il un nombre premier ?