Is 10271 a prime number?

10 271 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 10 271 is about 101.346.

Thus, the square root of 10 271 is not an integer, and therefore 10 271 is not a square number.

Anyway, 10 271 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 271) is the result of the product of this number (10 271) by itself (i.e., 10 271 × 10 271); the square of 10 271 is sometimes called "raising 10 271 to the power 2", or "10 271 squared".

The square of 10 271 is 105 493 441 because 10 271 × 10 271 = 10 271² = 105 493 441.

As a consequence, 10 271 is the square root of 105 493 441.

10 271 is a number with 5 digits.

The multiples of 10 271 are all integers evenly divisible by 10 271, that is all numbers such that the remainder of the division by 10 271 is zero. There are infinitely many multiples of 10 271. The smallest multiples of 10 271 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 271 too, since 0 × 10 271 = 0
• 10 271: indeed, 10 271 is a multiple of itself, since 10 271 is evenly divisible by 10 271 (we have 10 271 / 10 271 = 1, so the remainder of this division is indeed zero)
• 20 542: indeed, 20 542 = 10 271 × 2
• 30 813: indeed, 30 813 = 10 271 × 3
• 41 084: indeed, 41 084 = 10 271 × 4
• 51 355: indeed, 51 355 = 10 271 × 5
• etc.

• Preceding numbers: …10 269, 10 270
• Following numbers: 10 272, 10 273…

Nearest numbers from 10 271

• Preceding prime number: 10 267
• Following prime number: 10 273

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• 10 271 est-il un nombre premier ?