Is 763 a prime number? What are the divisors of 763?

## Parity of 763

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

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## Is 763 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 763 is about 27.622.

Thus, the square root of 763 is not an integer, and therefore 763 is not a square number.

## What is the square number of 763?

The square of a number (here 763) is the result of the product of this number (763) by itself (i.e., 763 × 763); the square of 763 is sometimes called "raising 763 to the power 2", or "763 squared".

The square of 763 is 582 169 because 763 × 763 = 7632 = 582 169.

As a consequence, 763 is the square root of 582 169.

## Number of digits of 763

763 is a number with 3 digits.

## What are the multiples of 763?

The multiples of 763 are all integers evenly divisible by 763, that is all numbers such that the remainder of the division by 763 is zero. There are infinitely many multiples of 763. The smallest multiples of 763 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 763). 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 27.622). 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 763

• Preceding numbers: …761, 762
• Following numbers: 764, 765

### Nearest numbers from 763

• Preceding prime number: 761
• Following prime number: 769
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