Is 319 a prime number? What are the divisors of 319?

## Parity of 319

319 is an odd number, because it is not evenly divisible by 2.

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## Is 319 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 319 is about 17.861.

Thus, the square root of 319 is not an integer, and therefore 319 is not a square number.

## What is the square number of 319?

The square of a number (here 319) is the result of the product of this number (319) by itself (i.e., 319 × 319); the square of 319 is sometimes called "raising 319 to the power 2", or "319 squared".

The square of 319 is 101 761 because 319 × 319 = 3192 = 101 761.

As a consequence, 319 is the square root of 101 761.

## Number of digits of 319

319 is a number with 3 digits.

## What are the multiples of 319?

The multiples of 319 are all integers evenly divisible by 319, that is all numbers such that the remainder of the division by 319 is zero. There are infinitely many multiples of 319. The smallest multiples of 319 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 319). 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 17.861). 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 319

• Preceding numbers: …317, 318
• Following numbers: 320, 321

### Nearest numbers from 319

• Preceding prime number: 317
• Following prime number: 331
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