Is 541 a prime number?

541 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 541 is about 23.259.

Thus, the square root of 541 is not an integer, and therefore 541 is not a square number.

Anyway, 541 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 541) is the result of the product of this number (541) by itself (i.e., 541 × 541); the square of 541 is sometimes called "raising 541 to the power 2", or "541 squared".

The square of 541 is 292 681 because 541 × 541 = 541² = 292 681.

As a consequence, 541 is the square root of 292 681.

541 is a number with 3 digits.

The multiples of 541 are all integers evenly divisible by 541, that is all numbers such that the remainder of the division by 541 is zero. There are infinitely many multiples of 541. The smallest multiples of 541 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 541 too, since 0 × 541 = 0
• 541: indeed, 541 is a multiple of itself, since 541 is evenly divisible by 541 (we have 541 / 541 = 1, so the remainder of this division is indeed zero)
• 1 082: indeed, 1 082 = 541 × 2
• 1 623: indeed, 1 623 = 541 × 3
• 2 164: indeed, 2 164 = 541 × 4
• 2 705: indeed, 2 705 = 541 × 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 541). 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 23.259). 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: …539, 540
• Following numbers: 542, 543…

Nearest numbers from 541

• Preceding prime number: 523
• Following prime number: 547

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• 541 est-il un nombre premier ?