Is 316 a prime number?

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

For 316, the answer is: No, 316 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 316) is as follows: 1, 2, 4, 79, 158, 316.

For 316 to be a prime number, it would have been required that 316 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

316 is a multiple of 1
316 is a multiple of 2
316 is a multiple of 4
316 is a multiple of 79
316 is a multiple of 158

For 316 to be a prime number, it would have been required that 316 has only two divisors, i.e., itself and 1.

Is 316 a deficient number?

Yes, 316 is a deficient number, that is to say 316 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 316 without 316 itself (that is 1 + 2 + 4 + 79 + 158 = 244).

Parity of 316

316 is an even number, because it is evenly divisible by 2: 316 / 2 = 158.

Find out more:

What is an even number?

Is 316 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 316 is about 17.776.

Thus, the square root of 316 is not an integer, and therefore 316 is not a square number.

What is the square number of 316?

The square of a number (here 316) is the result of the product of this number (316) by itself (i.e., 316 × 316); the square of 316 is sometimes called "raising 316 to the power 2", or "316 squared".

The square of 316 is 99 856 because 316 × 316 = 316² = 99 856.

As a consequence, 316 is the square root of 99 856.

Number of digits of 316

316 is a number with 3 digits.

What are the multiples of 316?

The multiples of 316 are all integers evenly divisible by 316, that is all numbers such that the remainder of the division by 316 is zero. There are infinitely many multiples of 316. The smallest multiples of 316 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 316 too, since 0 × 316 = 0
316: indeed, 316 is a multiple of itself, since 316 is evenly divisible by 316 (we have 316 / 316 = 1, so the remainder of this division is indeed zero)
632: indeed, 632 = 316 × 2
948: indeed, 948 = 316 × 3
1 264: indeed, 1 264 = 316 × 4
1 580: indeed, 1 580 = 316 × 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 316). 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 17.776). 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 316

Preceding numbers: …314, 315
Following numbers: 317, 318…

Nearest numbers from 316

Preceding prime number: 313
Following prime number: 317