Is 918 a prime number? What are the divisors of 918?

## Parity of 918

918 is an even number, because it is evenly divisible by 2: 918 / 2 = 459.

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## Is 918 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 918 is about 30.299.

Thus, the square root of 918 is not an integer, and therefore 918 is not a square number.

## What is the square number of 918?

The square of a number (here 918) is the result of the product of this number (918) by itself (i.e., 918 × 918); the square of 918 is sometimes called "raising 918 to the power 2", or "918 squared".

The square of 918 is 842 724 because 918 × 918 = 9182 = 842 724.

As a consequence, 918 is the square root of 842 724.

## Number of digits of 918

918 is a number with 3 digits.

## What are the multiples of 918?

The multiples of 918 are all integers evenly divisible by 918, that is all numbers such that the remainder of the division by 918 is zero. There are infinitely many multiples of 918. The smallest multiples of 918 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 918). 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 30.299). 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 918

• Preceding numbers: …916, 917
• Following numbers: 919, 920

### Nearest numbers from 918

• Preceding prime number: 911
• Following prime number: 919
Find out whether some integer is a prime number