Is 796 a prime number?

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

For 796, the answer is: No, 796 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 796) is as follows: 1, 2, 4, 199, 398, 796.

For 796 to be a prime number, it would have been required that 796 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

796 is a multiple of 1
796 is a multiple of 2
796 is a multiple of 4
796 is a multiple of 199
796 is a multiple of 398

For 796 to be a prime number, it would have been required that 796 has only two divisors, i.e., itself and 1.

Is 796 a deficient number?

Yes, 796 is a deficient number, that is to say 796 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 796 without 796 itself (that is 1 + 2 + 4 + 199 + 398 = 604).

Parity of 796

796 is an even number, because it is evenly divisible by 2: 796 / 2 = 398.

Find out more:

What is an even number?

Is 796 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 796 is about 28.213.

Thus, the square root of 796 is not an integer, and therefore 796 is not a square number.

What is the square number of 796?

The square of a number (here 796) is the result of the product of this number (796) by itself (i.e., 796 × 796); the square of 796 is sometimes called "raising 796 to the power 2", or "796 squared".

The square of 796 is 633 616 because 796 × 796 = 796² = 633 616.

As a consequence, 796 is the square root of 633 616.

Number of digits of 796

796 is a number with 3 digits.

What are the multiples of 796?

The multiples of 796 are all integers evenly divisible by 796, that is all numbers such that the remainder of the division by 796 is zero. There are infinitely many multiples of 796. The smallest multiples of 796 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 796 too, since 0 × 796 = 0
796: indeed, 796 is a multiple of itself, since 796 is evenly divisible by 796 (we have 796 / 796 = 1, so the remainder of this division is indeed zero)
1 592: indeed, 1 592 = 796 × 2
2 388: indeed, 2 388 = 796 × 3
3 184: indeed, 3 184 = 796 × 4
3 980: indeed, 3 980 = 796 × 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 796). 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 28.213). 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 796

Preceding numbers: …794, 795
Following numbers: 797, 798…

Nearest numbers from 796

Preceding prime number: 787
Following prime number: 797