Is 283 a prime number?

283 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 283 is about 16.823.

Thus, the square root of 283 is not an integer, and therefore 283 is not a square number.

Anyway, 283 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 283) is the result of the product of this number (283) by itself (i.e., 283 × 283); the square of 283 is sometimes called "raising 283 to the power 2", or "283 squared".

The square of 283 is 80 089 because 283 × 283 = 283² = 80 089.

As a consequence, 283 is the square root of 80 089.

283 is a number with 3 digits.

The multiples of 283 are all integers evenly divisible by 283, that is all numbers such that the remainder of the division by 283 is zero. There are infinitely many multiples of 283. The smallest multiples of 283 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 283 too, since 0 × 283 = 0
• 283: indeed, 283 is a multiple of itself, since 283 is evenly divisible by 283 (we have 283 / 283 = 1, so the remainder of this division is indeed zero)
• 566: indeed, 566 = 283 × 2
• 849: indeed, 849 = 283 × 3
• 1 132: indeed, 1 132 = 283 × 4
• 1 415: indeed, 1 415 = 283 × 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 283). 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 16.823). 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: …281, 282
• Following numbers: 284, 285…

Nearest numbers from 283

• Preceding prime number: 281
• Following prime number: 293

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• 283 est-il un nombre premier ?