Is 327 a prime number?

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

For 327, the answer is: No, 327 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 327) is as follows: 1, 3, 109, 327.

For 327 to be a prime number, it would have been required that 327 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

327 is a multiple of 1
327 is a multiple of 3
327 is a multiple of 109

For 327 to be a prime number, it would have been required that 327 has only two divisors, i.e., itself and 1.

However, 327 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 327 = 3 x 109, where 3 and 109 are both prime numbers.

Is 327 a deficient number?

Yes, 327 is a deficient number, that is to say 327 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 327 without 327 itself (that is 1 + 3 + 109 = 113).

Parity of 327

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

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What is an even number?

Is 327 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 327 is about 18.083.

Thus, the square root of 327 is not an integer, and therefore 327 is not a square number.

What is the square number of 327?

The square of a number (here 327) is the result of the product of this number (327) by itself (i.e., 327 × 327); the square of 327 is sometimes called "raising 327 to the power 2", or "327 squared".

The square of 327 is 106 929 because 327 × 327 = 327² = 106 929.

As a consequence, 327 is the square root of 106 929.

Number of digits of 327

327 is a number with 3 digits.

What are the multiples of 327?

The multiples of 327 are all integers evenly divisible by 327, that is all numbers such that the remainder of the division by 327 is zero. There are infinitely many multiples of 327. The smallest multiples of 327 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 327 too, since 0 × 327 = 0
327: indeed, 327 is a multiple of itself, since 327 is evenly divisible by 327 (we have 327 / 327 = 1, so the remainder of this division is indeed zero)
654: indeed, 654 = 327 × 2
981: indeed, 981 = 327 × 3
1 308: indeed, 1 308 = 327 × 4
1 635: indeed, 1 635 = 327 × 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 327). 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 18.083). 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 327

Preceding numbers: …325, 326
Following numbers: 328, 329…

Nearest numbers from 327

Preceding prime number: 317
Following prime number: 331