Is 288 a prime number? What are the divisors of 288?

## Parity of 288

288 is an even number, because it is evenly divisible by 2: 288 / 2 = 144.

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## Is 288 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 288 is about 16.971.

Thus, the square root of 288 is not an integer, and therefore 288 is not a square number.

## What is the square number of 288?

The square of a number (here 288) is the result of the product of this number (288) by itself (i.e., 288 × 288); the square of 288 is sometimes called "raising 288 to the power 2", or "288 squared".

The square of 288 is 82 944 because 288 × 288 = 2882 = 82 944.

As a consequence, 288 is the square root of 82 944.

## Number of digits of 288

288 is a number with 3 digits.

## What are the multiples of 288?

The multiples of 288 are all integers evenly divisible by 288, that is all numbers such that the remainder of the division by 288 is zero. There are infinitely many multiples of 288. The smallest multiples of 288 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 288). 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 16.971). 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 288

• Preceding numbers: …286, 287
• Following numbers: 289, 290

### Nearest numbers from 288

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