Is 113501 a prime number?

113 501 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 113 501 is about 336.899.

Thus, the square root of 113 501 is not an integer, and therefore 113 501 is not a square number.

Anyway, 113 501 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 113 501) is the result of the product of this number (113 501) by itself (i.e., 113 501 × 113 501); the square of 113 501 is sometimes called "raising 113 501 to the power 2", or "113 501 squared".

The square of 113 501 is 12 882 477 001 because 113 501 × 113 501 = 113 501² = 12 882 477 001.

As a consequence, 113 501 is the square root of 12 882 477 001.

113 501 is a number with 6 digits.

The multiples of 113 501 are all integers evenly divisible by 113 501, that is all numbers such that the remainder of the division by 113 501 is zero. There are infinitely many multiples of 113 501. The smallest multiples of 113 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 113 501 too, since 0 × 113 501 = 0
• 113 501: indeed, 113 501 is a multiple of itself, since 113 501 is evenly divisible by 113 501 (we have 113 501 / 113 501 = 1, so the remainder of this division is indeed zero)
• 227 002: indeed, 227 002 = 113 501 × 2
• 340 503: indeed, 340 503 = 113 501 × 3
• 454 004: indeed, 454 004 = 113 501 × 4
• 567 505: indeed, 567 505 = 113 501 × 5
• etc.

• Preceding numbers: …113 499, 113 500
• Following numbers: 113 502, 113 503…

Nearest numbers from 113 501

• Preceding prime number: 113 497
• Following prime number: 113 513

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• 113 501 est-il un nombre premier ?