Is 2002 a prime number?

2 002 is an even number, because it is evenly divisible by 2: 2 002 / 2 = 1 001.

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 2 002 is about 44.744.

Thus, the square root of 2 002 is not an integer, and therefore 2 002 is not a square number.

The square of a number (here 2 002) is the result of the product of this number (2 002) by itself (i.e., 2 002 × 2 002); the square of 2 002 is sometimes called "raising 2 002 to the power 2", or "2 002 squared".

The square of 2 002 is 4 008 004 because 2 002 × 2 002 = 2 002² = 4 008 004.

As a consequence, 2 002 is the square root of 4 008 004.

2 002 is a number with 4 digits.

The multiples of 2 002 are all integers evenly divisible by 2 002, that is all numbers such that the remainder of the division by 2 002 is zero. There are infinitely many multiples of 2 002. The smallest multiples of 2 002 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 002 too, since 0 × 2 002 = 0
• 2 002: indeed, 2 002 is a multiple of itself, since 2 002 is evenly divisible by 2 002 (we have 2 002 / 2 002 = 1, so the remainder of this division is indeed zero)
• 4 004: indeed, 4 004 = 2 002 × 2
• 6 006: indeed, 6 006 = 2 002 × 3
• 8 008: indeed, 8 008 = 2 002 × 4
• 10 010: indeed, 10 010 = 2 002 × 5
• etc.

• Preceding numbers: …2 000, 2 001
• Following numbers: 2 003, 2 004…

Nearest numbers from 2 002

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

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• 2 002 est-il un nombre premier ?