Is 828 a prime number? What are the divisors of 828?

Parity of 828

828 is an even number, because it is evenly divisible by 2: 828 / 2 = 414.

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Is 828 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 828 is about 28.775.

Thus, the square root of 828 is not an integer, and therefore 828 is not a square number.

What is the square number of 828?

The square of a number (here 828) is the result of the product of this number (828) by itself (i.e., 828 × 828); the square of 828 is sometimes called "raising 828 to the power 2", or "828 squared".

The square of 828 is 685 584 because 828 × 828 = 8282 = 685 584.

As a consequence, 828 is the square root of 685 584.

Number of digits of 828

828 is a number with 3 digits.

What are the multiples of 828?

The multiples of 828 are all integers evenly divisible by 828, that is all numbers such that the remainder of the division by 828 is zero. There are infinitely many multiples of 828. The smallest multiples of 828 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 828). 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 28.775). 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 828

  • Preceding numbers: …826, 827
  • Following numbers: 829, 830

Nearest numbers from 828

  • Preceding prime number: 827
  • Following prime number: 829
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