It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 941, the answer is: yes, 941 is a prime number because it has only two distinct divisors: 1 and itself (941).
As a consequence, 941 is only a multiple of 1 and 941..
Since 941 is a prime number, 941 is also a deficient number, that is to say 941 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 941 without 941 itself (that is 1, by definition!).
Parity of 941
941 is an odd number, because it is not evenly divisible by 2.
Is 941 a perfect square 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.
What is the square number of 941?
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".
As a consequence, 941 is the square root of 885 481.
Number of digits of 941
941 is a number with 3 digits.
What are the multiples of 941?
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
How to determine whether an integer is a prime number?
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.