Is 484 a prime number? What are the divisors of 484?

## Parity of 484

484 is an even number, because it is evenly divisible by 2: 484 / 2 = 242.

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## Is 484 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 484 is 22.

Therefore, the square root of 484 is an integer, and as a consequence 484 is a perfect square.

As a consequence, 22 is the square root of 484.

## What is the square number of 484?

The square of a number (here 484) is the result of the product of this number (484) by itself (i.e., 484 × 484); the square of 484 is sometimes called "raising 484 to the power 2", or "484 squared".

The square of 484 is 234 256 because 484 × 484 = 4842 = 234 256.

As a consequence, 484 is the square root of 234 256.

## Number of digits of 484

484 is a number with 3 digits.

## What are the multiples of 484?

The multiples of 484 are all integers evenly divisible by 484, that is all numbers such that the remainder of the division by 484 is zero. There are infinitely many multiples of 484. The smallest multiples of 484 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 484). 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 22). 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 484

• Preceding numbers: …482, 483
• Following numbers: 485, 486

### Nearest numbers from 484

• Preceding prime number: 479
• Following prime number: 487
Find out whether some integer is a prime number