Is 466 a prime number? What are the divisors of 466?

## Parity of 466

466 is an even number, because it is evenly divisible by 2: 466 / 2 = 233.

Find out more:

## Is 466 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 466 is about 21.587.

Thus, the square root of 466 is not an integer, and therefore 466 is not a square number.

## What is the square number of 466?

The square of a number (here 466) is the result of the product of this number (466) by itself (i.e., 466 × 466); the square of 466 is sometimes called "raising 466 to the power 2", or "466 squared".

The square of 466 is 217 156 because 466 × 466 = 4662 = 217 156.

As a consequence, 466 is the square root of 217 156.

## Number of digits of 466

466 is a number with 3 digits.

## What are the multiples of 466?

The multiples of 466 are all integers evenly divisible by 466, that is all numbers such that the remainder of the division by 466 is zero. There are infinitely many multiples of 466. The smallest multiples of 466 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 466). 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 21.587). 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 466

• Preceding numbers: …464, 465
• Following numbers: 467, 468

### Nearest numbers from 466

• Preceding prime number: 463
• Following prime number: 467
Find out whether some integer is a prime number