Is 277 a prime number? What are the divisors of 277?

## Is 277 a prime number?

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

For 277, the answer is: yes, 277 is a prime number because it has only two distinct divisors: 1 and itself (277).

As a consequence, 277 is only a multiple of 1 and 277..

Since 277 is a prime number, 277 is also a deficient number, that is to say 277 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 277 without 277 itself (that is 1, by definition!).

## Parity of 277

277 is an odd number, because it is not evenly divisible by 2.

## Is 277 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 277 is about 16.643.

Thus, the square root of 277 is not an integer, and therefore 277 is not a square number.

Anyway, 277 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 277?

The square of a number (here 277) is the result of the product of this number (277) by itself (i.e., 277 × 277); the square of 277 is sometimes called "raising 277 to the power 2", or "277 squared".

The square of 277 is 76 729 because 277 × 277 = 2772 = 76 729.

As a consequence, 277 is the square root of 76 729.

## Number of digits of 277

277 is a number with 3 digits.

## What are the multiples of 277?

The multiples of 277 are all integers evenly divisible by 277, that is all numbers such that the remainder of the division by 277 is zero. There are infinitely many multiples of 277. The smallest multiples of 277 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 277 too, since 0 × 277 = 0
• 277: indeed, 277 is a multiple of itself, since 277 is evenly divisible by 277 (we have 277 / 277 = 1, so the remainder of this division is indeed zero)
• 554: indeed, 554 = 277 × 2
• 831: indeed, 831 = 277 × 3
• 1 108: indeed, 1 108 = 277 × 4
• 1 385: indeed, 1 385 = 277 × 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 277). 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 16.643). 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 277

• Preceding numbers: …275, 276
• Following numbers: 278, 279

## Nearest numbers from 277

• Preceding prime number: 271
• Following prime number: 281
Find out whether some integer is a prime number