Is 944 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 944, the answer is: No, 944 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 944) is as follows: 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.

For 944 to be a prime number, it would have been required that 944 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

944 is a multiple of 1
944 is a multiple of 2
944 is a multiple of 4
944 is a multiple of 8
944 is a multiple of 16
944 is a multiple of 59
944 is a multiple of 118
944 is a multiple of 236
944 is a multiple of 472

For 944 to be a prime number, it would have been required that 944 has only two divisors, i.e., itself and 1.

Is 944 a deficient number?

Yes, 944 is a deficient number, that is to say 944 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 944 without 944 itself (that is 1 + 2 + 4 + 8 + 16 + 59 + 118 + 236 + 472 = 916).

Parity of 944

944 is an even number, because it is evenly divisible by 2: 944 / 2 = 472.

Find out more:

What is an even number?

Is 944 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 944 is about 30.725.

Thus, the square root of 944 is not an integer, and therefore 944 is not a square number.

What is the square number of 944?

The square of a number (here 944) is the result of the product of this number (944) by itself (i.e., 944 × 944); the square of 944 is sometimes called "raising 944 to the power 2", or "944 squared".

The square of 944 is 891 136 because 944 × 944 = 944² = 891 136.

As a consequence, 944 is the square root of 891 136.

Number of digits of 944

944 is a number with 3 digits.

What are the multiples of 944?

The multiples of 944 are all integers evenly divisible by 944, that is all numbers such that the remainder of the division by 944 is zero. There are infinitely many multiples of 944. The smallest multiples of 944 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 944 too, since 0 × 944 = 0
944: indeed, 944 is a multiple of itself, since 944 is evenly divisible by 944 (we have 944 / 944 = 1, so the remainder of this division is indeed zero)
1 888: indeed, 1 888 = 944 × 2
2 832: indeed, 2 832 = 944 × 3
3 776: indeed, 3 776 = 944 × 4
4 720: indeed, 4 720 = 944 × 5
etc.

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 944). 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 30.725). 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.

Numbers near 944

Preceding numbers: …942, 943
Following numbers: 945, 946…

Nearest numbers from 944

Preceding prime number: 941
Following prime number: 947