Is 5113 a prime number?

5 113 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 5 113 is about 71.505.

Thus, the square root of 5 113 is not an integer, and therefore 5 113 is not a square number.

Anyway, 5 113 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 5 113) is the result of the product of this number (5 113) by itself (i.e., 5 113 × 5 113); the square of 5 113 is sometimes called "raising 5 113 to the power 2", or "5 113 squared".

The square of 5 113 is 26 142 769 because 5 113 × 5 113 = 5 113² = 26 142 769.

As a consequence, 5 113 is the square root of 26 142 769.

5 113 is a number with 4 digits.

The multiples of 5 113 are all integers evenly divisible by 5 113, that is all numbers such that the remainder of the division by 5 113 is zero. There are infinitely many multiples of 5 113. The smallest multiples of 5 113 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 113 too, since 0 × 5 113 = 0
• 5 113: indeed, 5 113 is a multiple of itself, since 5 113 is evenly divisible by 5 113 (we have 5 113 / 5 113 = 1, so the remainder of this division is indeed zero)
• 10 226: indeed, 10 226 = 5 113 × 2
• 15 339: indeed, 15 339 = 5 113 × 3
• 20 452: indeed, 20 452 = 5 113 × 4
• 25 565: indeed, 25 565 = 5 113 × 5
• etc.

• Preceding numbers: …5 111, 5 112
• Following numbers: 5 114, 5 115…

Nearest numbers from 5 113

• Preceding prime number: 5 107
• Following prime number: 5 119

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• 5 113 est-il un nombre premier ?