Is 2007 a prime number?

2 007 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 2 007 is about 44.800.

Thus, the square root of 2 007 is not an integer, and therefore 2 007 is not a square number.

The square of a number (here 2 007) is the result of the product of this number (2 007) by itself (i.e., 2 007 × 2 007); the square of 2 007 is sometimes called "raising 2 007 to the power 2", or "2 007 squared".

The square of 2 007 is 4 028 049 because 2 007 × 2 007 = 2 007² = 4 028 049.

As a consequence, 2 007 is the square root of 4 028 049.

2 007 is a number with 4 digits.

The multiples of 2 007 are all integers evenly divisible by 2 007, that is all numbers such that the remainder of the division by 2 007 is zero. There are infinitely many multiples of 2 007. The smallest multiples of 2 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 007 too, since 0 × 2 007 = 0
• 2 007: indeed, 2 007 is a multiple of itself, since 2 007 is evenly divisible by 2 007 (we have 2 007 / 2 007 = 1, so the remainder of this division is indeed zero)
• 4 014: indeed, 4 014 = 2 007 × 2
• 6 021: indeed, 6 021 = 2 007 × 3
• 8 028: indeed, 8 028 = 2 007 × 4
• 10 035: indeed, 10 035 = 2 007 × 5
• etc.

• Preceding numbers: …2 005, 2 006
• Following numbers: 2 008, 2 009…

Nearest numbers from 2 007

• Preceding prime number: 2 003
• Following prime number: 2 011

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• 2 007 est-il un nombre premier ?