Is 722 a prime number? What are the divisors of 722?

## Parity of 722

722 is an even number, because it is evenly divisible by 2: 722 / 2 = 361.

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## Is 722 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 722 is about 26.870.

Thus, the square root of 722 is not an integer, and therefore 722 is not a square number.

## What is the square number of 722?

The square of a number (here 722) is the result of the product of this number (722) by itself (i.e., 722 × 722); the square of 722 is sometimes called "raising 722 to the power 2", or "722 squared".

The square of 722 is 521 284 because 722 × 722 = 7222 = 521 284.

As a consequence, 722 is the square root of 521 284.

## Number of digits of 722

722 is a number with 3 digits.

## What are the multiples of 722?

The multiples of 722 are all integers evenly divisible by 722, that is all numbers such that the remainder of the division by 722 is zero. There are infinitely many multiples of 722. The smallest multiples of 722 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 722). 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 26.870). 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 722

• Preceding numbers: …720, 721
• Following numbers: 723, 724

### Nearest numbers from 722

• Preceding prime number: 719
• Following prime number: 727
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