Is 956 a prime number?

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

For 956, the answer is: No, 956 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 956) is as follows: 1, 2, 4, 239, 478, 956.

For 956 to be a prime number, it would have been required that 956 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

956 is a multiple of 1
956 is a multiple of 2
956 is a multiple of 4
956 is a multiple of 239
956 is a multiple of 478

For 956 to be a prime number, it would have been required that 956 has only two divisors, i.e., itself and 1.

Is 956 a deficient number?

Yes, 956 is a deficient number, that is to say 956 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 956 without 956 itself (that is 1 + 2 + 4 + 239 + 478 = 724).

Parity of 956

956 is an even number, because it is evenly divisible by 2: 956 / 2 = 478.

Find out more:

What is an even number?

Is 956 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 956 is about 30.919.

Thus, the square root of 956 is not an integer, and therefore 956 is not a square number.

What is the square number of 956?

The square of a number (here 956) is the result of the product of this number (956) by itself (i.e., 956 × 956); the square of 956 is sometimes called "raising 956 to the power 2", or "956 squared".

The square of 956 is 913 936 because 956 × 956 = 956² = 913 936.

As a consequence, 956 is the square root of 913 936.

Number of digits of 956

956 is a number with 3 digits.

What are the multiples of 956?

The multiples of 956 are all integers evenly divisible by 956, that is all numbers such that the remainder of the division by 956 is zero. There are infinitely many multiples of 956. The smallest multiples of 956 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 956 too, since 0 × 956 = 0
956: indeed, 956 is a multiple of itself, since 956 is evenly divisible by 956 (we have 956 / 956 = 1, so the remainder of this division is indeed zero)
1 912: indeed, 1 912 = 956 × 2
2 868: indeed, 2 868 = 956 × 3
3 824: indeed, 3 824 = 956 × 4
4 780: indeed, 4 780 = 956 × 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 956). 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 30.919). 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 956

Preceding numbers: …954, 955
Following numbers: 957, 958…

Nearest numbers from 956

Preceding prime number: 953
Following prime number: 967