Is 100801 a prime number?

100 801 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 100 801 is about 317.492.

Thus, the square root of 100 801 is not an integer, and therefore 100 801 is not a square number.

Anyway, 100 801 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 100 801) is the result of the product of this number (100 801) by itself (i.e., 100 801 × 100 801); the square of 100 801 is sometimes called "raising 100 801 to the power 2", or "100 801 squared".

The square of 100 801 is 10 160 841 601 because 100 801 × 100 801 = 100 801² = 10 160 841 601.

As a consequence, 100 801 is the square root of 10 160 841 601.

100 801 is a number with 6 digits.

The multiples of 100 801 are all integers evenly divisible by 100 801, that is all numbers such that the remainder of the division by 100 801 is zero. There are infinitely many multiples of 100 801. The smallest multiples of 100 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 801 too, since 0 × 100 801 = 0
• 100 801: indeed, 100 801 is a multiple of itself, since 100 801 is evenly divisible by 100 801 (we have 100 801 / 100 801 = 1, so the remainder of this division is indeed zero)
• 201 602: indeed, 201 602 = 100 801 × 2
• 302 403: indeed, 302 403 = 100 801 × 3
• 403 204: indeed, 403 204 = 100 801 × 4
• 504 005: indeed, 504 005 = 100 801 × 5
• etc.

• Preceding numbers: …100 799, 100 800
• Following numbers: 100 802, 100 803…

Nearest numbers from 100 801

• Preceding prime number: 100 799
• Following prime number: 100 811

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• 100 801 est-il un nombre premier ?