Is 100823 a prime number?

100 823 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 100 823 is about 317.526.

Thus, the square root of 100 823 is not an integer, and therefore 100 823 is not a square number.

Anyway, 100 823 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 100 823) is the result of the product of this number (100 823) by itself (i.e., 100 823 × 100 823); the square of 100 823 is sometimes called "raising 100 823 to the power 2", or "100 823 squared".

The square of 100 823 is 10 165 277 329 because 100 823 × 100 823 = 100 823² = 10 165 277 329.

As a consequence, 100 823 is the square root of 10 165 277 329.

100 823 is a number with 6 digits.

The multiples of 100 823 are all integers evenly divisible by 100 823, that is all numbers such that the remainder of the division by 100 823 is zero. There are infinitely many multiples of 100 823. The smallest multiples of 100 823 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 823 too, since 0 × 100 823 = 0
• 100 823: indeed, 100 823 is a multiple of itself, since 100 823 is evenly divisible by 100 823 (we have 100 823 / 100 823 = 1, so the remainder of this division is indeed zero)
• 201 646: indeed, 201 646 = 100 823 × 2
• 302 469: indeed, 302 469 = 100 823 × 3
• 403 292: indeed, 403 292 = 100 823 × 4
• 504 115: indeed, 504 115 = 100 823 × 5
• etc.

• Preceding numbers: …100 821, 100 822
• Following numbers: 100 824, 100 825…

Nearest numbers from 100 823

• Preceding prime number: 100 811
• Following prime number: 100 829

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• 100 823 est-il un nombre premier ?