Is 528 a prime number? What are the divisors of 528?

## Parity of 528

528 is an even number, because it is evenly divisible by 2: 528 / 2 = 264.

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## Is 528 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 528 is about 22.978.

Thus, the square root of 528 is not an integer, and therefore 528 is not a square number.

## What is the square number of 528?

The square of a number (here 528) is the result of the product of this number (528) by itself (i.e., 528 × 528); the square of 528 is sometimes called "raising 528 to the power 2", or "528 squared".

The square of 528 is 278 784 because 528 × 528 = 5282 = 278 784.

As a consequence, 528 is the square root of 278 784.

## Number of digits of 528

528 is a number with 3 digits.

## What are the multiples of 528?

The multiples of 528 are all integers evenly divisible by 528, that is all numbers such that the remainder of the division by 528 is zero. There are infinitely many multiples of 528. The smallest multiples of 528 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 528). 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 22.978). 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 528

• Preceding numbers: …526, 527
• Following numbers: 529, 530

### Nearest numbers from 528

• Preceding prime number: 523
• Following prime number: 541
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