Is 7001 a prime number?

7 001 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 7 001 is about 83.672.

Thus, the square root of 7 001 is not an integer, and therefore 7 001 is not a square number.

Anyway, 7 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 7 001) is the result of the product of this number (7 001) by itself (i.e., 7 001 × 7 001); the square of 7 001 is sometimes called "raising 7 001 to the power 2", or "7 001 squared".

The square of 7 001 is 49 014 001 because 7 001 × 7 001 = 7 001² = 49 014 001.

As a consequence, 7 001 is the square root of 49 014 001.

7 001 is a number with 4 digits.

The multiples of 7 001 are all integers evenly divisible by 7 001, that is all numbers such that the remainder of the division by 7 001 is zero. There are infinitely many multiples of 7 001. The smallest multiples of 7 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7 001 too, since 0 × 7 001 = 0
• 7 001: indeed, 7 001 is a multiple of itself, since 7 001 is evenly divisible by 7 001 (we have 7 001 / 7 001 = 1, so the remainder of this division is indeed zero)
• 14 002: indeed, 14 002 = 7 001 × 2
• 21 003: indeed, 21 003 = 7 001 × 3
• 28 004: indeed, 28 004 = 7 001 × 4
• 35 005: indeed, 35 005 = 7 001 × 5
• etc.

• Preceding numbers: …6 999, 7 000
• Following numbers: 7 002, 7 003…

Nearest numbers from 7 001

• Preceding prime number: 6 997
• Following prime number: 7 013

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• 7 001 est-il un nombre premier ?