Is 418 a prime number? What are the divisors of 418?

## Parity of 418

418 is an even number, because it is evenly divisible by 2: 418 / 2 = 209.

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## Is 418 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 418 is about 20.445.

Thus, the square root of 418 is not an integer, and therefore 418 is not a square number.

## What is the square number of 418?

The square of a number (here 418) is the result of the product of this number (418) by itself (i.e., 418 × 418); the square of 418 is sometimes called "raising 418 to the power 2", or "418 squared".

The square of 418 is 174 724 because 418 × 418 = 4182 = 174 724.

As a consequence, 418 is the square root of 174 724.

## Number of digits of 418

418 is a number with 3 digits.

## What are the multiples of 418?

The multiples of 418 are all integers evenly divisible by 418, that is all numbers such that the remainder of the division by 418 is zero. There are infinitely many multiples of 418. The smallest multiples of 418 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 418). 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 20.445). 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 418

• Preceding numbers: …416, 417
• Following numbers: 419, 420

### Nearest numbers from 418

• Preceding prime number: 409
• Following prime number: 419
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