Is 946 a prime number? What are the divisors of 946?

## Parity of 946

946 is an even number, because it is evenly divisible by 2: 946 / 2 = 473.

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## Is 946 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 946 is about 30.757.

Thus, the square root of 946 is not an integer, and therefore 946 is not a square number.

## What is the square number of 946?

The square of a number (here 946) is the result of the product of this number (946) by itself (i.e., 946 × 946); the square of 946 is sometimes called "raising 946 to the power 2", or "946 squared".

The square of 946 is 894 916 because 946 × 946 = 9462 = 894 916.

As a consequence, 946 is the square root of 894 916.

## Number of digits of 946

946 is a number with 3 digits.

## What are the multiples of 946?

The multiples of 946 are all integers evenly divisible by 946, that is all numbers such that the remainder of the division by 946 is zero. There are infinitely many multiples of 946. The smallest multiples of 946 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 946). 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 30.757). 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 946

• Preceding numbers: …944, 945
• Following numbers: 947, 948

### Nearest numbers from 946

• Preceding prime number: 941
• Following prime number: 947
Find out whether some integer is a prime number