Is 492 a prime number? What are the divisors of 492?

## Parity of 492

492 is an even number, because it is evenly divisible by 2: 492 / 2 = 246.

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## Is 492 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 492 is about 22.181.

Thus, the square root of 492 is not an integer, and therefore 492 is not a square number.

## What is the square number of 492?

The square of a number (here 492) is the result of the product of this number (492) by itself (i.e., 492 × 492); the square of 492 is sometimes called "raising 492 to the power 2", or "492 squared".

The square of 492 is 242 064 because 492 × 492 = 4922 = 242 064.

As a consequence, 492 is the square root of 242 064.

## Number of digits of 492

492 is a number with 3 digits.

## What are the multiples of 492?

The multiples of 492 are all integers evenly divisible by 492, that is all numbers such that the remainder of the division by 492 is zero. There are infinitely many multiples of 492. The smallest multiples of 492 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 492). 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 22.181). 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 492

• Preceding numbers: …490, 491
• Following numbers: 493, 494

### Nearest numbers from 492

• Preceding prime number: 491
• Following prime number: 499
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