Is 31801 a prime number?

31 801 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 31 801 is about 178.328.

Thus, the square root of 31 801 is not an integer, and therefore 31 801 is not a square number.

The square of a number (here 31 801) is the result of the product of this number (31 801) by itself (i.e., 31 801 × 31 801); the square of 31 801 is sometimes called "raising 31 801 to the power 2", or "31 801 squared".

The square of 31 801 is 1 011 303 601 because 31 801 × 31 801 = 31 801² = 1 011 303 601.

As a consequence, 31 801 is the square root of 1 011 303 601.

31 801 is a number with 5 digits.

The multiples of 31 801 are all integers evenly divisible by 31 801, that is all numbers such that the remainder of the division by 31 801 is zero. There are infinitely many multiples of 31 801. The smallest multiples of 31 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 801 too, since 0 × 31 801 = 0
• 31 801: indeed, 31 801 is a multiple of itself, since 31 801 is evenly divisible by 31 801 (we have 31 801 / 31 801 = 1, so the remainder of this division is indeed zero)
• 63 602: indeed, 63 602 = 31 801 × 2
• 95 403: indeed, 95 403 = 31 801 × 3
• 127 204: indeed, 127 204 = 31 801 × 4
• 159 005: indeed, 159 005 = 31 801 × 5
• etc.

• Preceding numbers: …31 799, 31 800
• Following numbers: 31 802, 31 803…

Nearest numbers from 31 801

• Preceding prime number: 31 799
• Following prime number: 31 817

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• 31 801 est-il un nombre premier ?