Is 794 a prime number?

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

For 794, the answer is: No, 794 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 794) is as follows: 1, 2, 397, 794.

For 794 to be a prime number, it would have been required that 794 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

794 is a multiple of 1
794 is a multiple of 2
794 is a multiple of 397

For 794 to be a prime number, it would have been required that 794 has only two divisors, i.e., itself and 1.

However, 794 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 794 = 2 x 397, where 2 and 397 are both prime numbers.

Is 794 a deficient number?

Yes, 794 is a deficient number, that is to say 794 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 794 without 794 itself (that is 1 + 2 + 397 = 400).

Parity of 794

794 is an even number, because it is evenly divisible by 2: 794 / 2 = 397.

Find out more:

What is an even number?

Is 794 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 794 is about 28.178.

Thus, the square root of 794 is not an integer, and therefore 794 is not a square number.

What is the square number of 794?

The square of a number (here 794) is the result of the product of this number (794) by itself (i.e., 794 × 794); the square of 794 is sometimes called "raising 794 to the power 2", or "794 squared".

The square of 794 is 630 436 because 794 × 794 = 794² = 630 436.

As a consequence, 794 is the square root of 630 436.

Number of digits of 794

794 is a number with 3 digits.

What are the multiples of 794?

The multiples of 794 are all integers evenly divisible by 794, that is all numbers such that the remainder of the division by 794 is zero. There are infinitely many multiples of 794. The smallest multiples of 794 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 794 too, since 0 × 794 = 0
794: indeed, 794 is a multiple of itself, since 794 is evenly divisible by 794 (we have 794 / 794 = 1, so the remainder of this division is indeed zero)
1 588: indeed, 1 588 = 794 × 2
2 382: indeed, 2 382 = 794 × 3
3 176: indeed, 3 176 = 794 × 4
3 970: indeed, 3 970 = 794 × 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 794). 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 28.178). 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 794

Preceding numbers: …792, 793
Following numbers: 795, 796…

Nearest numbers from 794

Preceding prime number: 787
Following prime number: 797