Is 8001 a prime number?

8 001 is an odd number, because it is not evenly divisible by 2.

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 8 001 is about 89.448.

Thus, the square root of 8 001 is not an integer, and therefore 8 001 is not a square number.

The square of a number (here 8 001) is the result of the product of this number (8 001) by itself (i.e., 8 001 × 8 001); the square of 8 001 is sometimes called "raising 8 001 to the power 2", or "8 001 squared".

The square of 8 001 is 64 016 001 because 8 001 × 8 001 = 8 001² = 64 016 001.

As a consequence, 8 001 is the square root of 64 016 001.

8 001 is a number with 4 digits.

The multiples of 8 001 are all integers evenly divisible by 8 001, that is all numbers such that the remainder of the division by 8 001 is zero. There are infinitely many multiples of 8 001. The smallest multiples of 8 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8 001 too, since 0 × 8 001 = 0
• 8 001: indeed, 8 001 is a multiple of itself, since 8 001 is evenly divisible by 8 001 (we have 8 001 / 8 001 = 1, so the remainder of this division is indeed zero)
• 16 002: indeed, 16 002 = 8 001 × 2
• 24 003: indeed, 24 003 = 8 001 × 3
• 32 004: indeed, 32 004 = 8 001 × 4
• 40 005: indeed, 40 005 = 8 001 × 5
• etc.

• Preceding numbers: …7 999, 8 000
• Following numbers: 8 002, 8 003…

Nearest numbers from 8 001

• Preceding prime number: 7 993
• Following prime number: 8 009

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• 8 001 est-il un nombre premier ?