Is 628 a prime number? What are the divisors of 628?

## Parity of 628

628 is an even number, because it is evenly divisible by 2: 628 / 2 = 314.

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## Is 628 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 628 is about 25.060.

Thus, the square root of 628 is not an integer, and therefore 628 is not a square number.

## What is the square number of 628?

The square of a number (here 628) is the result of the product of this number (628) by itself (i.e., 628 × 628); the square of 628 is sometimes called "raising 628 to the power 2", or "628 squared".

The square of 628 is 394 384 because 628 × 628 = 6282 = 394 384.

As a consequence, 628 is the square root of 394 384.

## Number of digits of 628

628 is a number with 3 digits.

## What are the multiples of 628?

The multiples of 628 are all integers evenly divisible by 628, that is all numbers such that the remainder of the division by 628 is zero. There are infinitely many multiples of 628. The smallest multiples of 628 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 628). 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 25.060). 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 628

• Preceding numbers: …626, 627
• Following numbers: 629, 630

### Nearest numbers from 628

• Preceding prime number: 619
• Following prime number: 631
Find out whether some integer is a prime number