Is 183 a prime number? What are the divisors of 183?

Is 183 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 183, the answer is: No, 183 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 183) is as follows: 1, 3, 61, 183.

To be 183 a prime number, it would have been required that 183 has only two divisors, i.e., itself and 1.

As a consequence:

  • 183 is a multiple of 1
  • 183 is a multiple of 3
  • 183 is a multiple of 61

To be 183 a prime number, it would have been required that 183 has only two divisors, i.e., itself and 1.

However, 183 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 183 = 3 x 61, where 3 and 61 are both prime numbers.

Is 183 a deficient number?

Yes, 183 is a deficient number, that is to say 183 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 183 without 183 itself (that is 1 + 3 + 61 = 65).

Parity of 183

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

Is 183 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 183 is about 13.528.

Thus, the square root of 183 is not an integer, and therefore 183 is not a square number.

What is the square number of 183?

The square of a number (here 183) is the result of the product of this number (183) by itself (i.e., 183 × 183); the square of 183 is sometimes called "raising 183 to the power 2", or "183 squared".

The square of 183 is 33 489 because 183 × 183 = 1832 = 33 489.

As a consequence, 183 is the square root of 33 489.

Number of digits of 183

183 is a number with 3 digits.

What are the multiples of 183?

The multiples of 183 are all integers evenly divisible by 183, that is all numbers such that the remainder of the division by 183 is zero. There are infinitely many multiples of 183. The smallest multiples of 183 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 183 too, since 0 × 183 = 0
  • 183: indeed, 183 is a multiple of itself, since 183 is evenly divisible by 183 (we have 183 / 183 = 1, so the remainder of this division is indeed zero)
  • 366: indeed, 366 = 183 × 2
  • 549: indeed, 549 = 183 × 3
  • 732: indeed, 732 = 183 × 4
  • 915: indeed, 915 = 183 × 5
  • etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 183). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 13.528). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 183

  • Preceding numbers: …181, 182
  • Following numbers: 184, 185

Nearest numbers from 183

  • Preceding prime number: 181
  • Following prime number: 191
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