Is 2000 a prime number?

2 000 is an even number, because it is evenly divisible by 2: 2 000 / 2 = 1 000.

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 2 000 is about 44.721.

Thus, the square root of 2 000 is not an integer, and therefore 2 000 is not a square number.

The square of a number (here 2 000) is the result of the product of this number (2 000) by itself (i.e., 2 000 × 2 000); the square of 2 000 is sometimes called "raising 2 000 to the power 2", or "2 000 squared".

The square of 2 000 is 4 000 000 because 2 000 × 2 000 = 2 000² = 4 000 000.

As a consequence, 2 000 is the square root of 4 000 000.

2 000 is a number with 4 digits.

The multiples of 2 000 are all integers evenly divisible by 2 000, that is all numbers such that the remainder of the division by 2 000 is zero. There are infinitely many multiples of 2 000. The smallest multiples of 2 000 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 000 too, since 0 × 2 000 = 0
• 2 000: indeed, 2 000 is a multiple of itself, since 2 000 is evenly divisible by 2 000 (we have 2 000 / 2 000 = 1, so the remainder of this division is indeed zero)
• 4 000: indeed, 4 000 = 2 000 × 2
• 6 000: indeed, 6 000 = 2 000 × 3
• 8 000: indeed, 8 000 = 2 000 × 4
• 10 000: indeed, 10 000 = 2 000 × 5
• etc.

• Preceding numbers: …1 998, 1 999
• Following numbers: 2 001, 2 002…

Nearest numbers from 2 000

• Preceding prime number: 1 999
• Following prime number: 2 003

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• 2 000 est-il un nombre premier ?