Is 12501 a prime number?

12 501 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 12 501 is about 111.808.

Thus, the square root of 12 501 is not an integer, and therefore 12 501 is not a square number.

The square of a number (here 12 501) is the result of the product of this number (12 501) by itself (i.e., 12 501 × 12 501); the square of 12 501 is sometimes called "raising 12 501 to the power 2", or "12 501 squared".

The square of 12 501 is 156 275 001 because 12 501 × 12 501 = 12 501² = 156 275 001.

As a consequence, 12 501 is the square root of 156 275 001.

12 501 is a number with 5 digits.

The multiples of 12 501 are all integers evenly divisible by 12 501, that is all numbers such that the remainder of the division by 12 501 is zero. There are infinitely many multiples of 12 501. The smallest multiples of 12 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 501 too, since 0 × 12 501 = 0
• 12 501: indeed, 12 501 is a multiple of itself, since 12 501 is evenly divisible by 12 501 (we have 12 501 / 12 501 = 1, so the remainder of this division is indeed zero)
• 25 002: indeed, 25 002 = 12 501 × 2
• 37 503: indeed, 37 503 = 12 501 × 3
• 50 004: indeed, 50 004 = 12 501 × 4
• 62 505: indeed, 62 505 = 12 501 × 5
• etc.

• Preceding numbers: …12 499, 12 500
• Following numbers: 12 502, 12 503…

Nearest numbers from 12 501

• Preceding prime number: 12 497
• Following prime number: 12 503

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• 12 501 est-il un nombre premier ?