Is 936 a prime number?

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

For 936, the answer is: No, 936 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 936) is as follows: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.

For 936 to be a prime number, it would have been required that 936 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

936 is a multiple of 1
936 is a multiple of 2
936 is a multiple of 3
936 is a multiple of 4
936 is a multiple of 6
936 is a multiple of 8
936 is a multiple of 9
936 is a multiple of 12
936 is a multiple of 13
936 is a multiple of 18
936 is a multiple of 24
936 is a multiple of 26
936 is a multiple of 36
936 is a multiple of 39
936 is a multiple of 52
936 is a multiple of 72
936 is a multiple of 78
936 is a multiple of 104
936 is a multiple of 117
936 is a multiple of 156
936 is a multiple of 234
936 is a multiple of 312
936 is a multiple of 468

For 936 to be a prime number, it would have been required that 936 has only two divisors, i.e., itself and 1.

Is 936 a deficient number?

No, 936 is not a deficient number: to be deficient, 936 should have been such that 936 is larger than the sum of its proper divisors, i.e., the divisors of 936 without 936 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 36 + 39 + 52 + 72 + 78 + 104 + 117 + 156 + 234 + 312 + 468 = 1 794).

In fact, 936 is an abundant number; 936 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 36 + 39 + 52 + 72 + 78 + 104 + 117 + 156 + 234 + 312 + 468 = 1 794). The smallest abundant number is 12.

Parity of 936

936 is an even number, because it is evenly divisible by 2: 936 / 2 = 468.

Find out more:

What is an even number?

Is 936 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 936 is about 30.594.

Thus, the square root of 936 is not an integer, and therefore 936 is not a square number.

What is the square number of 936?

The square of a number (here 936) is the result of the product of this number (936) by itself (i.e., 936 × 936); the square of 936 is sometimes called "raising 936 to the power 2", or "936 squared".

The square of 936 is 876 096 because 936 × 936 = 936² = 876 096.

As a consequence, 936 is the square root of 876 096.

Number of digits of 936

936 is a number with 3 digits.

What are the multiples of 936?

The multiples of 936 are all integers evenly divisible by 936, that is all numbers such that the remainder of the division by 936 is zero. There are infinitely many multiples of 936. The smallest multiples of 936 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 936 too, since 0 × 936 = 0
936: indeed, 936 is a multiple of itself, since 936 is evenly divisible by 936 (we have 936 / 936 = 1, so the remainder of this division is indeed zero)
1 872: indeed, 1 872 = 936 × 2
2 808: indeed, 2 808 = 936 × 3
3 744: indeed, 3 744 = 936 × 4
4 680: indeed, 4 680 = 936 × 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 936). 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 30.594). 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 936

Preceding numbers: …934, 935
Following numbers: 937, 938…

Nearest numbers from 936

Preceding prime number: 929
Following prime number: 937