Is 216 a prime number? What are the divisors of 216?

Parity of 216

216 is an even number, because it is evenly divisible by 2: 216 / 2 = 108.

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Is 216 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 216 is about 14.697.

Thus, the square root of 216 is not an integer, and therefore 216 is not a square number.

What is the square number of 216?

The square of a number (here 216) is the result of the product of this number (216) by itself (i.e., 216 × 216); the square of 216 is sometimes called "raising 216 to the power 2", or "216 squared".

The square of 216 is 46 656 because 216 × 216 = 2162 = 46 656.

As a consequence, 216 is the square root of 46 656.

Number of digits of 216

216 is a number with 3 digits.

What are the multiples of 216?

The multiples of 216 are all integers evenly divisible by 216, that is all numbers such that the remainder of the division by 216 is zero. There are infinitely many multiples of 216. The smallest multiples of 216 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 216 too, since 0 × 216 = 0
  • 216: indeed, 216 is a multiple of itself, since 216 is evenly divisible by 216 (we have 216 / 216 = 1, so the remainder of this division is indeed zero)
  • 432: indeed, 432 = 216 × 2
  • 648: indeed, 648 = 216 × 3
  • 864: indeed, 864 = 216 × 4
  • 1 080: indeed, 1 080 = 216 × 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 216). 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 14.697). 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 216

  • Preceding numbers: …214, 215
  • Following numbers: 217, 218…

Nearest numbers from 216

  • Preceding prime number: 211
  • Following prime number: 223
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