Is 793 a prime number? What are the divisors of 793?

## Parity of 793

793 is an odd number, because it is not evenly divisible by 2.

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## Is 793 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 793 is about 28.160.

Thus, the square root of 793 is not an integer, and therefore 793 is not a square number.

## What is the square number of 793?

The square of a number (here 793) is the result of the product of this number (793) by itself (i.e., 793 × 793); the square of 793 is sometimes called "raising 793 to the power 2", or "793 squared".

The square of 793 is 628 849 because 793 × 793 = 7932 = 628 849.

As a consequence, 793 is the square root of 628 849.

## Number of digits of 793

793 is a number with 3 digits.

## What are the multiples of 793?

The multiples of 793 are all integers evenly divisible by 793, that is all numbers such that the remainder of the division by 793 is zero. There are infinitely many multiples of 793. The smallest multiples of 793 are:

## 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 793). 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 28.160). 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 793

• Preceding numbers: …791, 792
• Following numbers: 794, 795

### Nearest numbers from 793

• Preceding prime number: 787
• Following prime number: 797
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