Is 274 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 274, the answer is: No, 274 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 274) is as follows: 1, 2, 137, 274.

For 274 to be a prime number, it would have been required that 274 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

274 is a multiple of 1
274 is a multiple of 2
274 is a multiple of 137

For 274 to be a prime number, it would have been required that 274 has only two divisors, i.e., itself and 1.

However, 274 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 274 = 2 x 137, where 2 and 137 are both prime numbers.

Is 274 a deficient number?

Yes, 274 is a deficient number, that is to say 274 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 274 without 274 itself (that is 1 + 2 + 137 = 140).

Parity of 274

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

Find out more:

What is an even number?

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:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 274 too, since 0 × 274 = 0
274: indeed, 274 is a multiple of itself, since 274 is evenly divisible by 274 (we have 274 / 274 = 1, so the remainder of this division is indeed zero)
548: indeed, 548 = 274 × 2
822: indeed, 822 = 274 × 3
1 096: indeed, 1 096 = 274 × 4
1 370: indeed, 1 370 = 274 × 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 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