Is 180 a prime number? What are the divisors of 180?

## Parity of 180

180 is an even number, because it is evenly divisible by 2: 180 / 2 = 90.

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## Is 180 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 180 is about 13.416.

Thus, the square root of 180 is not an integer, and therefore 180 is not a square number.

## What is the square number of 180?

The square of a number (here 180) is the result of the product of this number (180) by itself (i.e., 180 × 180); the square of 180 is sometimes called "raising 180 to the power 2", or "180 squared".

The square of 180 is 32 400 because 180 × 180 = 1802 = 32 400.

As a consequence, 180 is the square root of 32 400.

## Number of digits of 180

180 is a number with 3 digits.

## What are the multiples of 180?

The multiples of 180 are all integers evenly divisible by 180, that is all numbers such that the remainder of the division by 180 is zero. There are infinitely many multiples of 180. The smallest multiples of 180 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 180 too, since 0 × 180 = 0
• 180: indeed, 180 is a multiple of itself, since 180 is evenly divisible by 180 (we have 180 / 180 = 1, so the remainder of this division is indeed zero)
• 360: indeed, 360 = 180 × 2
• 540: indeed, 540 = 180 × 3
• 720: indeed, 720 = 180 × 4
• 900: indeed, 900 = 180 × 5
• etc.

## 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 180). 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 13.416). 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 180

• Preceding numbers: …178, 179
• Following numbers: 181, 182

### Nearest numbers from 180

• Preceding prime number: 179
• Following prime number: 181
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