Is 312 a prime number? What are the divisors of 312?

## Parity of 312

312 is an even number, because it is evenly divisible by 2: 312 / 2 = 156.

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## Is 312 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 312 is about 17.664.

Thus, the square root of 312 is not an integer, and therefore 312 is not a square number.

## What is the square number of 312?

The square of a number (here 312) is the result of the product of this number (312) by itself (i.e., 312 × 312); the square of 312 is sometimes called "raising 312 to the power 2", or "312 squared".

The square of 312 is 97 344 because 312 × 312 = 3122 = 97 344.

As a consequence, 312 is the square root of 97 344.

## Number of digits of 312

312 is a number with 3 digits.

## What are the multiples of 312?

The multiples of 312 are all integers evenly divisible by 312, that is all numbers such that the remainder of the division by 312 is zero. There are infinitely many multiples of 312. The smallest multiples of 312 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 312). 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 17.664). 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 312

• Preceding numbers: …310, 311
• Following numbers: 313, 314

### Nearest numbers from 312

• Preceding prime number: 311
• Following prime number: 313
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