Is 472 a prime number? What are the divisors of 472?

## Parity of 472

472 is an even number, because it is evenly divisible by 2: 472 / 2 = 236.

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## Is 472 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 472 is about 21.726.

Thus, the square root of 472 is not an integer, and therefore 472 is not a square number.

## What is the square number of 472?

The square of a number (here 472) is the result of the product of this number (472) by itself (i.e., 472 × 472); the square of 472 is sometimes called "raising 472 to the power 2", or "472 squared".

The square of 472 is 222 784 because 472 × 472 = 4722 = 222 784.

As a consequence, 472 is the square root of 222 784.

## Number of digits of 472

472 is a number with 3 digits.

## What are the multiples of 472?

The multiples of 472 are all integers evenly divisible by 472, that is all numbers such that the remainder of the division by 472 is zero. There are infinitely many multiples of 472. The smallest multiples of 472 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 472). 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 21.726). 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 472

• Preceding numbers: …470, 471
• Following numbers: 473, 474

### Nearest numbers from 472

• Preceding prime number: 467
• Following prime number: 479
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