Is 446 a prime number? What are the divisors of 446?

## Parity of 446

446 is an even number, because it is evenly divisible by 2: 446 / 2 = 223.

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## Is 446 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 446 is about 21.119.

Thus, the square root of 446 is not an integer, and therefore 446 is not a square number.

## What is the square number of 446?

The square of a number (here 446) is the result of the product of this number (446) by itself (i.e., 446 × 446); the square of 446 is sometimes called "raising 446 to the power 2", or "446 squared".

The square of 446 is 198 916 because 446 × 446 = 4462 = 198 916.

As a consequence, 446 is the square root of 198 916.

## Number of digits of 446

446 is a number with 3 digits.

## What are the multiples of 446?

The multiples of 446 are all integers evenly divisible by 446, that is all numbers such that the remainder of the division by 446 is zero. There are infinitely many multiples of 446. The smallest multiples of 446 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 446). 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 21.119). 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 446

• Preceding numbers: …444, 445
• Following numbers: 447, 448

### Nearest numbers from 446

• Preceding prime number: 443
• Following prime number: 449
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