Is 123031 a prime number?

123 031 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 123 031 is about 350.758.

Thus, the square root of 123 031 is not an integer, and therefore 123 031 is not a square number.

Anyway, 123 031 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 123 031) is the result of the product of this number (123 031) by itself (i.e., 123 031 × 123 031); the square of 123 031 is sometimes called "raising 123 031 to the power 2", or "123 031 squared".

The square of 123 031 is 15 136 626 961 because 123 031 × 123 031 = 123 031² = 15 136 626 961.

As a consequence, 123 031 is the square root of 15 136 626 961.

123 031 is a number with 6 digits.

The multiples of 123 031 are all integers evenly divisible by 123 031, that is all numbers such that the remainder of the division by 123 031 is zero. There are infinitely many multiples of 123 031. The smallest multiples of 123 031 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 123 031 too, since 0 × 123 031 = 0
• 123 031: indeed, 123 031 is a multiple of itself, since 123 031 is evenly divisible by 123 031 (we have 123 031 / 123 031 = 1, so the remainder of this division is indeed zero)
• 246 062: indeed, 246 062 = 123 031 × 2
• 369 093: indeed, 369 093 = 123 031 × 3
• 492 124: indeed, 492 124 = 123 031 × 4
• 615 155: indeed, 615 155 = 123 031 × 5
• etc.

• Preceding numbers: …123 029, 123 030
• Following numbers: 123 032, 123 033…

Nearest numbers from 123 031

• Preceding prime number: 123 017
• Following prime number: 123 049

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• 123 031 est-il un nombre premier ?