Is 322 a prime number?

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

For 322, the answer is: No, 322 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 322) is as follows: 1, 2, 7, 14, 23, 46, 161, 322.

For 322 to be a prime number, it would have been required that 322 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

322 is a multiple of 1
322 is a multiple of 2
322 is a multiple of 7
322 is a multiple of 14
322 is a multiple of 23
322 is a multiple of 46
322 is a multiple of 161

For 322 to be a prime number, it would have been required that 322 has only two divisors, i.e., itself and 1.

Is 322 a deficient number?

Yes, 322 is a deficient number, that is to say 322 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 322 without 322 itself (that is 1 + 2 + 7 + 14 + 23 + 46 + 161 = 254).

Parity of 322

322 is an even number, because it is evenly divisible by 2: 322 / 2 = 161.

Find out more:

What is an even number?

Is 322 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 322 is about 17.944.

Thus, the square root of 322 is not an integer, and therefore 322 is not a square number.

What is the square number of 322?

The square of a number (here 322) is the result of the product of this number (322) by itself (i.e., 322 × 322); the square of 322 is sometimes called "raising 322 to the power 2", or "322 squared".

The square of 322 is 103 684 because 322 × 322 = 322² = 103 684.

As a consequence, 322 is the square root of 103 684.

Number of digits of 322

322 is a number with 3 digits.

What are the multiples of 322?

The multiples of 322 are all integers evenly divisible by 322, that is all numbers such that the remainder of the division by 322 is zero. There are infinitely many multiples of 322. The smallest multiples of 322 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 322 too, since 0 × 322 = 0
322: indeed, 322 is a multiple of itself, since 322 is evenly divisible by 322 (we have 322 / 322 = 1, so the remainder of this division is indeed zero)
644: indeed, 644 = 322 × 2
966: indeed, 966 = 322 × 3
1 288: indeed, 1 288 = 322 × 4
1 610: indeed, 1 610 = 322 × 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 322). 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 17.944). 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 322

Preceding numbers: …320, 321
Following numbers: 323, 324…

Nearest numbers from 322

Preceding prime number: 317
Following prime number: 331