Is 1163 a prime number? What are the divisors of 1163?

Is 1163 a prime number?

Yes, 1163 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1163, the only two divisors are 1 and 1163. Therefore 1163 is a prime number.

As a consequence, 1163 is only a multiple of 1 and 1163.

Since 1163 is a prime number, 1163 is also a deficient number, that is to say 1163 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1163 without 1163 itself (that is 1, by definition!).

Parity of 1163

1163 is an odd number, because it is not evenly divisible by 2.

Is 1163 a perfect square 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 1163 is about 34.103.

Thus, the square root of 1163 is not an integer, and therefore 1163 is not a square number.

Anyway, 1163 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1163?

The square of a number (here 1163) is the result of the product of this number (1163) by itself (i.e., 1163 × 1163); the square of 1163 is sometimes called "raising 1163 to the power 2", or "1163 squared".

The square of 1163 is 1 352 569 because 1163 × 1163 = 11632 = 1 352 569.

As a consequence, 1163 is the square root of 1 352 569.

Number of digits of 1163

1163 is a number with 4 digits.

What are the multiples of 1163?

The multiples of 1163 are all integers evenly divisible by 1163, that is all numbers such that the remainder of the division by 1163 is zero. There are infinitely many multiples of 1163. The smallest multiples of 1163 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1163 too, since 0 × 1163 = 0
  • 1163: indeed, 1163 is a multiple of itself, since 1163 is evenly divisible by 1163 (we have 1163 / 1163 = 1, so the remainder of this division is indeed zero)
  • 2 326: indeed, 2 326 = 1163 × 2
  • 3 489: indeed, 3 489 = 1163 × 3
  • 4 652: indeed, 4 652 = 1163 × 4
  • 5 815: indeed, 5 815 = 1163 × 5
  • etc.

Numbers near 1163

Nearest numbers from 1163

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