Is 318 a prime number?

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

For 318, the answer is: No, 318 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 318) is as follows: 1, 2, 3, 6, 53, 106, 159, 318.

For 318 to be a prime number, it would have been required that 318 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

318 is a multiple of 1
318 is a multiple of 2
318 is a multiple of 3
318 is a multiple of 6
318 is a multiple of 53
318 is a multiple of 106
318 is a multiple of 159

For 318 to be a prime number, it would have been required that 318 has only two divisors, i.e., itself and 1.

Is 318 a deficient number?

No, 318 is not a deficient number: to be deficient, 318 should have been such that 318 is larger than the sum of its proper divisors, i.e., the divisors of 318 without 318 itself (that is 1 + 2 + 3 + 6 + 53 + 106 + 159 = 330).

In fact, 318 is an abundant number; 318 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 53 + 106 + 159 = 330). The smallest abundant number is 12.

Parity of 318

318 is an even number, because it is evenly divisible by 2: 318 / 2 = 159.

Find out more:

What is an even number?

Is 318 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 318 is about 17.833.

Thus, the square root of 318 is not an integer, and therefore 318 is not a square number.

What is the square number of 318?

The square of a number (here 318) is the result of the product of this number (318) by itself (i.e., 318 × 318); the square of 318 is sometimes called "raising 318 to the power 2", or "318 squared".

The square of 318 is 101 124 because 318 × 318 = 318² = 101 124.

As a consequence, 318 is the square root of 101 124.

Number of digits of 318

318 is a number with 3 digits.

What are the multiples of 318?

The multiples of 318 are all integers evenly divisible by 318, that is all numbers such that the remainder of the division by 318 is zero. There are infinitely many multiples of 318. The smallest multiples of 318 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 318 too, since 0 × 318 = 0
318: indeed, 318 is a multiple of itself, since 318 is evenly divisible by 318 (we have 318 / 318 = 1, so the remainder of this division is indeed zero)
636: indeed, 636 = 318 × 2
954: indeed, 954 = 318 × 3
1 272: indeed, 1 272 = 318 × 4
1 590: indeed, 1 590 = 318 × 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 318). 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 17.833). 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 318

Preceding numbers: …316, 317
Following numbers: 319, 320…

Nearest numbers from 318

Preceding prime number: 317
Following prime number: 331