Is 468 a prime number? What are the divisors of 468?

## Parity of 468

468 is an even number, because it is evenly divisible by 2: 468 / 2 = 234.

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## Is 468 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 468 is about 21.633.

Thus, the square root of 468 is not an integer, and therefore 468 is not a square number.

## What is the square number of 468?

The square of a number (here 468) is the result of the product of this number (468) by itself (i.e., 468 × 468); the square of 468 is sometimes called "raising 468 to the power 2", or "468 squared".

The square of 468 is 219 024 because 468 × 468 = 4682 = 219 024.

As a consequence, 468 is the square root of 219 024.

## Number of digits of 468

468 is a number with 3 digits.

## What are the multiples of 468?

The multiples of 468 are all integers evenly divisible by 468, that is all numbers such that the remainder of the division by 468 is zero. There are infinitely many multiples of 468. The smallest multiples of 468 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 468). 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 21.633). 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 468

• Preceding numbers: …466, 467
• Following numbers: 469, 470

### Nearest numbers from 468

• Preceding prime number: 467
• Following prime number: 479
Find out whether some integer is a prime number