Is 316 a prime number? What are the divisors of 316?

## Parity of 316

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

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## 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:

## 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
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