Is 448 a prime number? What are the divisors of 448?

## Parity of 448

448 is an even number, because it is evenly divisible by 2: 448 / 2 = 224.

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## Is 448 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 448 is about 21.166.

Thus, the square root of 448 is not an integer, and therefore 448 is not a square number.

## What is the square number of 448?

The square of a number (here 448) is the result of the product of this number (448) by itself (i.e., 448 × 448); the square of 448 is sometimes called "raising 448 to the power 2", or "448 squared".

The square of 448 is 200 704 because 448 × 448 = 4482 = 200 704.

As a consequence, 448 is the square root of 200 704.

## Number of digits of 448

448 is a number with 3 digits.

## What are the multiples of 448?

The multiples of 448 are all integers evenly divisible by 448, that is all numbers such that the remainder of the division by 448 is zero. There are infinitely many multiples of 448. The smallest multiples of 448 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 448). 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 21.166). 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 448

• Preceding numbers: …446, 447
• Following numbers: 449, 450

### Nearest numbers from 448

• Preceding prime number: 443
• Following prime number: 449
Find out whether some integer is a prime number