Is 1193 a prime number?

1 193 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 1 193 is about 34.540.

Thus, the square root of 1 193 is not an integer, and therefore 1 193 is not a square number.

Anyway, 1 193 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 193) is the result of the product of this number (1 193) by itself (i.e., 1 193 × 1 193); the square of 1 193 is sometimes called "raising 1 193 to the power 2", or "1 193 squared".

The square of 1 193 is 1 423 249 because 1 193 × 1 193 = 1 193² = 1 423 249.

As a consequence, 1 193 is the square root of 1 423 249.

1 193 is a number with 4 digits.

The multiples of 1 193 are all integers evenly divisible by 1 193, that is all numbers such that the remainder of the division by 1 193 is zero. There are infinitely many multiples of 1 193. The smallest multiples of 1 193 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 193 too, since 0 × 1 193 = 0
• 1 193: indeed, 1 193 is a multiple of itself, since 1 193 is evenly divisible by 1 193 (we have 1 193 / 1 193 = 1, so the remainder of this division is indeed zero)
• 2 386: indeed, 2 386 = 1 193 × 2
• 3 579: indeed, 3 579 = 1 193 × 3
• 4 772: indeed, 4 772 = 1 193 × 4
• 5 965: indeed, 5 965 = 1 193 × 5
• etc.

• Preceding numbers: …1 191, 1 192
• Following numbers: 1 194, 1 195…

Nearest numbers from 1 193

• Preceding prime number: 1 187
• Following prime number: 1 201

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• 1 193 est-il un nombre premier ?