Is 100513 a prime number?

100 513 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 100 513 is about 317.038.

Thus, the square root of 100 513 is not an integer, and therefore 100 513 is not a square number.

The square of a number (here 100 513) is the result of the product of this number (100 513) by itself (i.e., 100 513 × 100 513); the square of 100 513 is sometimes called "raising 100 513 to the power 2", or "100 513 squared".

The square of 100 513 is 10 102 863 169 because 100 513 × 100 513 = 100 513² = 10 102 863 169.

As a consequence, 100 513 is the square root of 10 102 863 169.

100 513 is a number with 6 digits.

The multiples of 100 513 are all integers evenly divisible by 100 513, that is all numbers such that the remainder of the division by 100 513 is zero. There are infinitely many multiples of 100 513. The smallest multiples of 100 513 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 513 too, since 0 × 100 513 = 0
• 100 513: indeed, 100 513 is a multiple of itself, since 100 513 is evenly divisible by 100 513 (we have 100 513 / 100 513 = 1, so the remainder of this division is indeed zero)
• 201 026: indeed, 201 026 = 100 513 × 2
• 301 539: indeed, 301 539 = 100 513 × 3
• 402 052: indeed, 402 052 = 100 513 × 4
• 502 565: indeed, 502 565 = 100 513 × 5
• etc.

• Preceding numbers: …100 511, 100 512
• Following numbers: 100 514, 100 515…

Nearest numbers from 100 513

• Preceding prime number: 100 511
• Following prime number: 100 517

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• 100 513 est-il un nombre premier ?