Is 12503 a prime number?

12 503 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 12 503 is about 111.817.

Thus, the square root of 12 503 is not an integer, and therefore 12 503 is not a square number.

Anyway, 12 503 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 503) is the result of the product of this number (12 503) by itself (i.e., 12 503 × 12 503); the square of 12 503 is sometimes called "raising 12 503 to the power 2", or "12 503 squared".

The square of 12 503 is 156 325 009 because 12 503 × 12 503 = 12 503² = 156 325 009.

As a consequence, 12 503 is the square root of 156 325 009.

12 503 is a number with 5 digits.

The multiples of 12 503 are all integers evenly divisible by 12 503, that is all numbers such that the remainder of the division by 12 503 is zero. There are infinitely many multiples of 12 503. The smallest multiples of 12 503 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 503 too, since 0 × 12 503 = 0
• 12 503: indeed, 12 503 is a multiple of itself, since 12 503 is evenly divisible by 12 503 (we have 12 503 / 12 503 = 1, so the remainder of this division is indeed zero)
• 25 006: indeed, 25 006 = 12 503 × 2
• 37 509: indeed, 37 509 = 12 503 × 3
• 50 012: indeed, 50 012 = 12 503 × 4
• 62 515: indeed, 62 515 = 12 503 × 5
• etc.

• Preceding numbers: …12 501, 12 502
• Following numbers: 12 504, 12 505…

Nearest numbers from 12 503

• Preceding prime number: 12 497
• Following prime number: 12 511

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• 12 503 est-il un nombre premier ?