Is 456 a prime number? What are the divisors of 456?

## Parity of 456

456 is an even number, because it is evenly divisible by 2: 456 / 2 = 228.

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## Is 456 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 456 is about 21.354.

Thus, the square root of 456 is not an integer, and therefore 456 is not a square number.

## What is the square number of 456?

The square of a number (here 456) is the result of the product of this number (456) by itself (i.e., 456 × 456); the square of 456 is sometimes called "raising 456 to the power 2", or "456 squared".

The square of 456 is 207 936 because 456 × 456 = 4562 = 207 936.

As a consequence, 456 is the square root of 207 936.

## Number of digits of 456

456 is a number with 3 digits.

## What are the multiples of 456?

The multiples of 456 are all integers evenly divisible by 456, that is all numbers such that the remainder of the division by 456 is zero. There are infinitely many multiples of 456. The smallest multiples of 456 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 456). 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 21.354). 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 456

• Preceding numbers: …454, 455
• Following numbers: 457, 458

### Nearest numbers from 456

• Preceding prime number: 449
• Following prime number: 457
Find out whether some integer is a prime number