Is 240 a prime number? What are the divisors of 240?

## Parity of 240

240 is an even number, because it is evenly divisible by 2: 240 / 2 = 120.

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## Is 240 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 240 is about 15.492.

Thus, the square root of 240 is not an integer, and therefore 240 is not a square number.

## What is the square number of 240?

The square of a number (here 240) is the result of the product of this number (240) by itself (i.e., 240 × 240); the square of 240 is sometimes called "raising 240 to the power 2", or "240 squared".

The square of 240 is 57 600 because 240 × 240 = 2402 = 57 600.

As a consequence, 240 is the square root of 57 600.

## Number of digits of 240

240 is a number with 3 digits.

## What are the multiples of 240?

The multiples of 240 are all integers evenly divisible by 240, that is all numbers such that the remainder of the division by 240 is zero. There are infinitely many multiples of 240. The smallest multiples of 240 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 240 too, since 0 × 240 = 0
• 240: indeed, 240 is a multiple of itself, since 240 is evenly divisible by 240 (we have 240 / 240 = 1, so the remainder of this division is indeed zero)
• 480: indeed, 480 = 240 × 2
• 720: indeed, 720 = 240 × 3
• 960: indeed, 960 = 240 × 4
• 1 200: indeed, 1 200 = 240 × 5
• etc.

## 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 240). 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 15.492). 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 240

• Preceding numbers: …238, 239
• Following numbers: 241, 242

### Nearest numbers from 240

• Preceding prime number: 239
• Following prime number: 241
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