Is 315 a prime number? What are the divisors of 315?

## Parity of 315

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

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## Is 315 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 315 is about 17.748.

Thus, the square root of 315 is not an integer, and therefore 315 is not a square number.

## What is the square number of 315?

The square of a number (here 315) is the result of the product of this number (315) by itself (i.e., 315 × 315); the square of 315 is sometimes called "raising 315 to the power 2", or "315 squared".

The square of 315 is 99 225 because 315 × 315 = 3152 = 99 225.

As a consequence, 315 is the square root of 99 225.

## Number of digits of 315

315 is a number with 3 digits.

## What are the multiples of 315?

The multiples of 315 are all integers evenly divisible by 315, that is all numbers such that the remainder of the division by 315 is zero. There are infinitely many multiples of 315. The smallest multiples of 315 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 315). 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 17.748). 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 315

• Preceding numbers: …313, 314
• Following numbers: 316, 317

### Nearest numbers from 315

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