Is 328 a prime number?

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

For 328, the answer is: No, 328 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 328) is as follows: 1, 2, 4, 8, 41, 82, 164, 328.

For 328 to be a prime number, it would have been required that 328 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

328 is a multiple of 1
328 is a multiple of 2
328 is a multiple of 4
328 is a multiple of 8
328 is a multiple of 41
328 is a multiple of 82
328 is a multiple of 164

For 328 to be a prime number, it would have been required that 328 has only two divisors, i.e., itself and 1.

Is 328 a deficient number?

Yes, 328 is a deficient number, that is to say 328 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 328 without 328 itself (that is 1 + 2 + 4 + 8 + 41 + 82 + 164 = 302).

Parity of 328

328 is an even number, because it is evenly divisible by 2: 328 / 2 = 164.

Find out more:

What is an even number?

Is 328 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 328 is about 18.111.

Thus, the square root of 328 is not an integer, and therefore 328 is not a square number.

What is the square number of 328?

The square of a number (here 328) is the result of the product of this number (328) by itself (i.e., 328 × 328); the square of 328 is sometimes called "raising 328 to the power 2", or "328 squared".

The square of 328 is 107 584 because 328 × 328 = 328² = 107 584.

As a consequence, 328 is the square root of 107 584.

Number of digits of 328

328 is a number with 3 digits.

What are the multiples of 328?

The multiples of 328 are all integers evenly divisible by 328, that is all numbers such that the remainder of the division by 328 is zero. There are infinitely many multiples of 328. The smallest multiples of 328 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 328 too, since 0 × 328 = 0
328: indeed, 328 is a multiple of itself, since 328 is evenly divisible by 328 (we have 328 / 328 = 1, so the remainder of this division is indeed zero)
656: indeed, 656 = 328 × 2
984: indeed, 984 = 328 × 3
1 312: indeed, 1 312 = 328 × 4
1 640: indeed, 1 640 = 328 × 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 328). 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 18.111). 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 328

Preceding numbers: …326, 327
Following numbers: 329, 330…

Nearest numbers from 328

Preceding prime number: 317
Following prime number: 331