Is 284 a prime number? What are the divisors of 284?

## Parity of 284

284 is an even number, because it is evenly divisible by 2: 284 / 2 = 142.

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## Is 284 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 284 is about 16.852.

Thus, the square root of 284 is not an integer, and therefore 284 is not a square number.

## What is the square number of 284?

The square of a number (here 284) is the result of the product of this number (284) by itself (i.e., 284 × 284); the square of 284 is sometimes called "raising 284 to the power 2", or "284 squared".

The square of 284 is 80 656 because 284 × 284 = 2842 = 80 656.

As a consequence, 284 is the square root of 80 656.

## Number of digits of 284

284 is a number with 3 digits.

## What are the multiples of 284?

The multiples of 284 are all integers evenly divisible by 284, that is all numbers such that the remainder of the division by 284 is zero. There are infinitely many multiples of 284. The smallest multiples of 284 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 284). 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 16.852). 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 284

• Preceding numbers: …282, 283
• Following numbers: 285, 286

### Nearest numbers from 284

• Preceding prime number: 283
• Following prime number: 293
Find out whether some integer is a prime number