Is 359 a prime number?

359 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 359 is about 18.947.

Thus, the square root of 359 is not an integer, and therefore 359 is not a square number.

Anyway, 359 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 359) is the result of the product of this number (359) by itself (i.e., 359 × 359); the square of 359 is sometimes called "raising 359 to the power 2", or "359 squared".

The square of 359 is 128 881 because 359 × 359 = 359² = 128 881.

As a consequence, 359 is the square root of 128 881.

359 is a number with 3 digits.

The multiples of 359 are all integers evenly divisible by 359, that is all numbers such that the remainder of the division by 359 is zero. There are infinitely many multiples of 359. The smallest multiples of 359 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 359 too, since 0 × 359 = 0
• 359: indeed, 359 is a multiple of itself, since 359 is evenly divisible by 359 (we have 359 / 359 = 1, so the remainder of this division is indeed zero)
• 718: indeed, 718 = 359 × 2
• 1 077: indeed, 1 077 = 359 × 3
• 1 436: indeed, 1 436 = 359 × 4
• 1 795: indeed, 1 795 = 359 × 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 359). 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 18.947). 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: …357, 358
• Following numbers: 360, 361…

Nearest numbers from 359

• Preceding prime number: 353
• Following prime number: 367

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• 359 est-il un nombre premier ?