Is 648 a prime number? What are the divisors of 648?

## Parity of 648

648 is an even number, because it is evenly divisible by 2: 648 / 2 = 324.

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## Is 648 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 648 is about 25.456.

Thus, the square root of 648 is not an integer, and therefore 648 is not a square number.

## What is the square number of 648?

The square of a number (here 648) is the result of the product of this number (648) by itself (i.e., 648 × 648); the square of 648 is sometimes called "raising 648 to the power 2", or "648 squared".

The square of 648 is 419 904 because 648 × 648 = 6482 = 419 904.

As a consequence, 648 is the square root of 419 904.

## Number of digits of 648

648 is a number with 3 digits.

## What are the multiples of 648?

The multiples of 648 are all integers evenly divisible by 648, that is all numbers such that the remainder of the division by 648 is zero. There are infinitely many multiples of 648. The smallest multiples of 648 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 648). 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 25.456). 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 648

• Preceding numbers: …646, 647
• Following numbers: 649, 650

### Nearest numbers from 648

• Preceding prime number: 647
• Following prime number: 653
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