Is 272 a prime number? What are the divisors of 272?

## Parity of 272

272 is an even number, because it is evenly divisible by 2: 272 / 2 = 136.

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## Is 272 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 272 is about 16.492.

Thus, the square root of 272 is not an integer, and therefore 272 is not a square number.

## What is the square number of 272?

The square of a number (here 272) is the result of the product of this number (272) by itself (i.e., 272 × 272); the square of 272 is sometimes called "raising 272 to the power 2", or "272 squared".

The square of 272 is 73 984 because 272 × 272 = 2722 = 73 984.

As a consequence, 272 is the square root of 73 984.

## Number of digits of 272

272 is a number with 3 digits.

## What are the multiples of 272?

The multiples of 272 are all integers evenly divisible by 272, that is all numbers such that the remainder of the division by 272 is zero. There are infinitely many multiples of 272. The smallest multiples of 272 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 272). 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 16.492). 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 272

• Preceding numbers: …270, 271
• Following numbers: 273, 274

### Nearest numbers from 272

• Preceding prime number: 271
• Following prime number: 277
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