Is 115001 a prime number?

115 001 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 115 001 is about 339.118.

Thus, the square root of 115 001 is not an integer, and therefore 115 001 is not a square number.

Anyway, 115 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 115 001) is the result of the product of this number (115 001) by itself (i.e., 115 001 × 115 001); the square of 115 001 is sometimes called "raising 115 001 to the power 2", or "115 001 squared".

The square of 115 001 is 13 225 230 001 because 115 001 × 115 001 = 115 001² = 13 225 230 001.

As a consequence, 115 001 is the square root of 13 225 230 001.

115 001 is a number with 6 digits.

The multiples of 115 001 are all integers evenly divisible by 115 001, that is all numbers such that the remainder of the division by 115 001 is zero. There are infinitely many multiples of 115 001. The smallest multiples of 115 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 115 001 too, since 0 × 115 001 = 0
• 115 001: indeed, 115 001 is a multiple of itself, since 115 001 is evenly divisible by 115 001 (we have 115 001 / 115 001 = 1, so the remainder of this division is indeed zero)
• 230 002: indeed, 230 002 = 115 001 × 2
• 345 003: indeed, 345 003 = 115 001 × 3
• 460 004: indeed, 460 004 = 115 001 × 4
• 575 005: indeed, 575 005 = 115 001 × 5
• etc.

• Preceding numbers: …114 999, 115 000
• Following numbers: 115 002, 115 003…

Nearest numbers from 115 001

• Preceding prime number: 114 997
• Following prime number: 115 013

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• 115 001 est-il un nombre premier ?