Is 277 a prime number?

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

Find out more:

• What is an even 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.

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.

277 is a number with 3 digits.

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.

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.

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

Nearest numbers from 277

• Preceding prime number: 271
• Following prime number: 281

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• 277 est-il un nombre premier ?