Is 1005 a prime number?

1 005 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 1 005 is about 31.702.

Thus, the square root of 1 005 is not an integer, and therefore 1 005 is not a square number.

The square of a number (here 1 005) is the result of the product of this number (1 005) by itself (i.e., 1 005 × 1 005); the square of 1 005 is sometimes called "raising 1 005 to the power 2", or "1 005 squared".

The square of 1 005 is 1 010 025 because 1 005 × 1 005 = 1 005² = 1 010 025.

As a consequence, 1 005 is the square root of 1 010 025.

1 005 is a number with 4 digits.

The multiples of 1 005 are all integers evenly divisible by 1 005, that is all numbers such that the remainder of the division by 1 005 is zero. There are infinitely many multiples of 1 005. The smallest multiples of 1 005 are:

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

• Preceding numbers: …1 003, 1 004
• Following numbers: 1 006, 1 007…

Nearest numbers from 1 005

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

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• 1 005 est-il un nombre premier ?