Is 314 a prime number? What are the divisors of 314?

## Parity of 314

314 is an even number, because it is evenly divisible by 2: 314 / 2 = 157.

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## Is 314 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 314 is about 17.720.

Thus, the square root of 314 is not an integer, and therefore 314 is not a square number.

## What is the square number of 314?

The square of a number (here 314) is the result of the product of this number (314) by itself (i.e., 314 × 314); the square of 314 is sometimes called "raising 314 to the power 2", or "314 squared".

The square of 314 is 98 596 because 314 × 314 = 3142 = 98 596.

As a consequence, 314 is the square root of 98 596.

## Number of digits of 314

314 is a number with 3 digits.

## What are the multiples of 314?

The multiples of 314 are all integers evenly divisible by 314, that is all numbers such that the remainder of the division by 314 is zero. There are infinitely many multiples of 314. The smallest multiples of 314 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 314). 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 17.720). 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 314

• Preceding numbers: …312, 313
• Following numbers: 315, 316

### Nearest numbers from 314

• Preceding prime number: 313
• Following prime number: 317
Find out whether some integer is a prime number