Is 274 a prime number? What are the divisors of 274?

## Parity of 274

274 is an even number, because it is evenly divisible by 2: 274 / 2 = 137.

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## Is 274 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 274 is about 16.553.

Thus, the square root of 274 is not an integer, and therefore 274 is not a square number.

## What is the square number of 274?

The square of a number (here 274) is the result of the product of this number (274) by itself (i.e., 274 × 274); the square of 274 is sometimes called "raising 274 to the power 2", or "274 squared".

The square of 274 is 75 076 because 274 × 274 = 2742 = 75 076.

As a consequence, 274 is the square root of 75 076.

## Number of digits of 274

274 is a number with 3 digits.

## What are the multiples of 274?

The multiples of 274 are all integers evenly divisible by 274, that is all numbers such that the remainder of the division by 274 is zero. There are infinitely many multiples of 274. The smallest multiples of 274 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 274). 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 16.553). 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 274

• Preceding numbers: …272, 273
• Following numbers: 275, 276

### Nearest numbers from 274

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