Is 916 a prime number?

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

For 916, the answer is: No, 916 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 916) is as follows: 1, 2, 4, 229, 458, 916.

For 916 to be a prime number, it would have been required that 916 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

916 is a multiple of 1
916 is a multiple of 2
916 is a multiple of 4
916 is a multiple of 229
916 is a multiple of 458

For 916 to be a prime number, it would have been required that 916 has only two divisors, i.e., itself and 1.

Is 916 a deficient number?

Yes, 916 is a deficient number, that is to say 916 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 916 without 916 itself (that is 1 + 2 + 4 + 229 + 458 = 694).

Parity of 916

916 is an even number, because it is evenly divisible by 2: 916 / 2 = 458.

Find out more:

What is an even number?

Is 916 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 916 is about 30.265.

Thus, the square root of 916 is not an integer, and therefore 916 is not a square number.

What is the square number of 916?

The square of a number (here 916) is the result of the product of this number (916) by itself (i.e., 916 × 916); the square of 916 is sometimes called "raising 916 to the power 2", or "916 squared".

The square of 916 is 839 056 because 916 × 916 = 916² = 839 056.

As a consequence, 916 is the square root of 839 056.

Number of digits of 916

916 is a number with 3 digits.

What are the multiples of 916?

The multiples of 916 are all integers evenly divisible by 916, that is all numbers such that the remainder of the division by 916 is zero. There are infinitely many multiples of 916. The smallest multiples of 916 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 916 too, since 0 × 916 = 0
916: indeed, 916 is a multiple of itself, since 916 is evenly divisible by 916 (we have 916 / 916 = 1, so the remainder of this division is indeed zero)
1 832: indeed, 1 832 = 916 × 2
2 748: indeed, 2 748 = 916 × 3
3 664: indeed, 3 664 = 916 × 4
4 580: indeed, 4 580 = 916 × 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 916). 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 30.265). 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 916

Preceding numbers: …914, 915
Following numbers: 917, 918…

Nearest numbers from 916

Preceding prime number: 911
Following prime number: 919