Is 808 a prime number? What are the divisors of 808?

## Parity of 808

808 is an even number, because it is evenly divisible by 2: 808 / 2 = 404.

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## Is 808 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 808 is about 28.425.

Thus, the square root of 808 is not an integer, and therefore 808 is not a square number.

## What is the square number of 808?

The square of a number (here 808) is the result of the product of this number (808) by itself (i.e., 808 × 808); the square of 808 is sometimes called "raising 808 to the power 2", or "808 squared".

The square of 808 is 652 864 because 808 × 808 = 8082 = 652 864.

As a consequence, 808 is the square root of 652 864.

## Number of digits of 808

808 is a number with 3 digits.

## What are the multiples of 808?

The multiples of 808 are all integers evenly divisible by 808, that is all numbers such that the remainder of the division by 808 is zero. There are infinitely many multiples of 808. The smallest multiples of 808 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 808). 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 28.425). 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 808

• Preceding numbers: …806, 807
• Following numbers: 809, 810

### Nearest numbers from 808

• Preceding prime number: 797
• Following prime number: 809
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