Is 3113 a prime number?

3 113 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 3 113 is about 55.794.

Thus, the square root of 3 113 is not an integer, and therefore 3 113 is not a square number.

The square of a number (here 3 113) is the result of the product of this number (3 113) by itself (i.e., 3 113 × 3 113); the square of 3 113 is sometimes called "raising 3 113 to the power 2", or "3 113 squared".

The square of 3 113 is 9 690 769 because 3 113 × 3 113 = 3 113² = 9 690 769.

As a consequence, 3 113 is the square root of 9 690 769.

3 113 is a number with 4 digits.

The multiples of 3 113 are all integers evenly divisible by 3 113, that is all numbers such that the remainder of the division by 3 113 is zero. There are infinitely many multiples of 3 113. The smallest multiples of 3 113 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 113 too, since 0 × 3 113 = 0
• 3 113: indeed, 3 113 is a multiple of itself, since 3 113 is evenly divisible by 3 113 (we have 3 113 / 3 113 = 1, so the remainder of this division is indeed zero)
• 6 226: indeed, 6 226 = 3 113 × 2
• 9 339: indeed, 9 339 = 3 113 × 3
• 12 452: indeed, 12 452 = 3 113 × 4
• 15 565: indeed, 15 565 = 3 113 × 5
• etc.

• Preceding numbers: …3 111, 3 112
• Following numbers: 3 114, 3 115…

Nearest numbers from 3 113

• Preceding prime number: 3 109
• Following prime number: 3 119

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• 3 113 est-il un nombre premier ?