Is 493 a prime number? What are the divisors of 493?

## Parity of 493

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

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## Is 493 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 493 is about 22.204.

Thus, the square root of 493 is not an integer, and therefore 493 is not a square number.

## What is the square number of 493?

The square of a number (here 493) is the result of the product of this number (493) by itself (i.e., 493 × 493); the square of 493 is sometimes called "raising 493 to the power 2", or "493 squared".

The square of 493 is 243 049 because 493 × 493 = 4932 = 243 049.

As a consequence, 493 is the square root of 243 049.

## Number of digits of 493

493 is a number with 3 digits.

## What are the multiples of 493?

The multiples of 493 are all integers evenly divisible by 493, that is all numbers such that the remainder of the division by 493 is zero. There are infinitely many multiples of 493. The smallest multiples of 493 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 493). 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 22.204). 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 493

• Preceding numbers: …491, 492
• Following numbers: 494, 495

### Nearest numbers from 493

• Preceding prime number: 491
• Following prime number: 499
Find out whether some integer is a prime number