Is 941 a prime number?

941 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 941 is about 30.676.

Thus, the square root of 941 is not an integer, and therefore 941 is not a square number.

Anyway, 941 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 941) is the result of the product of this number (941) by itself (i.e., 941 × 941); the square of 941 is sometimes called "raising 941 to the power 2", or "941 squared".

The square of 941 is 885 481 because 941 × 941 = 941² = 885 481.

As a consequence, 941 is the square root of 885 481.

941 is a number with 3 digits.

The multiples of 941 are all integers evenly divisible by 941, that is all numbers such that the remainder of the division by 941 is zero. There are infinitely many multiples of 941. The smallest multiples of 941 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 941 too, since 0 × 941 = 0
• 941: indeed, 941 is a multiple of itself, since 941 is evenly divisible by 941 (we have 941 / 941 = 1, so the remainder of this division is indeed zero)
• 1 882: indeed, 1 882 = 941 × 2
• 2 823: indeed, 2 823 = 941 × 3
• 3 764: indeed, 3 764 = 941 × 4
• 4 705: indeed, 4 705 = 941 × 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 941). 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 30.676). 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: …939, 940
• Following numbers: 942, 943…

Nearest numbers from 941

• Preceding prime number: 937
• Following prime number: 947

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• 941 est-il un nombre premier ?