Is 480 a prime number? What are the divisors of 480?

## Parity of 480

480 is an even number, because it is evenly divisible by 2: 480 / 2 = 240.

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## Is 480 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 480 is about 21.909.

Thus, the square root of 480 is not an integer, and therefore 480 is not a square number.

## What is the square number of 480?

The square of a number (here 480) is the result of the product of this number (480) by itself (i.e., 480 × 480); the square of 480 is sometimes called "raising 480 to the power 2", or "480 squared".

The square of 480 is 230 400 because 480 × 480 = 4802 = 230 400.

As a consequence, 480 is the square root of 230 400.

## Number of digits of 480

480 is a number with 3 digits.

## What are the multiples of 480?

The multiples of 480 are all integers evenly divisible by 480, that is all numbers such that the remainder of the division by 480 is zero. There are infinitely many multiples of 480. The smallest multiples of 480 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 480). 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 21.909). 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 480

• Preceding numbers: …478, 479
• Following numbers: 481, 482

### Nearest numbers from 480

• Preceding prime number: 479
• Following prime number: 487
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