Is 842 a prime number? What are the divisors of 842?

## Parity of 842

842 is an even number, because it is evenly divisible by 2: 842 / 2 = 421.

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## Is 842 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 842 is about 29.017.

Thus, the square root of 842 is not an integer, and therefore 842 is not a square number.

## What is the square number of 842?

The square of a number (here 842) is the result of the product of this number (842) by itself (i.e., 842 × 842); the square of 842 is sometimes called "raising 842 to the power 2", or "842 squared".

The square of 842 is 708 964 because 842 × 842 = 8422 = 708 964.

As a consequence, 842 is the square root of 708 964.

## Number of digits of 842

842 is a number with 3 digits.

## What are the multiples of 842?

The multiples of 842 are all integers evenly divisible by 842, that is all numbers such that the remainder of the division by 842 is zero. There are infinitely many multiples of 842. The smallest multiples of 842 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 842). 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 29.017). 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 842

• Preceding numbers: …840, 841
• Following numbers: 843, 844

### Nearest numbers from 842

• Preceding prime number: 839
• Following prime number: 853
Find out whether some integer is a prime number