Is 192 a prime number? What are the divisors of 192?

## Parity of 192

192 is an even number, because it is evenly divisible by 2: 192 / 2 = 96.

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## Is 192 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 192 is about 13.856.

Thus, the square root of 192 is not an integer, and therefore 192 is not a square number.

## What is the square number of 192?

The square of a number (here 192) is the result of the product of this number (192) by itself (i.e., 192 × 192); the square of 192 is sometimes called "raising 192 to the power 2", or "192 squared".

The square of 192 is 36 864 because 192 × 192 = 1922 = 36 864.

As a consequence, 192 is the square root of 36 864.

## Number of digits of 192

192 is a number with 3 digits.

## What are the multiples of 192?

The multiples of 192 are all integers evenly divisible by 192, that is all numbers such that the remainder of the division by 192 is zero. There are infinitely many multiples of 192. The smallest multiples of 192 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 192 too, since 0 × 192 = 0
• 192: indeed, 192 is a multiple of itself, since 192 is evenly divisible by 192 (we have 192 / 192 = 1, so the remainder of this division is indeed zero)
• 384: indeed, 384 = 192 × 2
• 576: indeed, 576 = 192 × 3
• 768: indeed, 768 = 192 × 4
• 960: indeed, 960 = 192 × 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 192). 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 13.856). 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 192

• Preceding numbers: …190, 191
• Following numbers: 193, 194

### Nearest numbers from 192

• Preceding prime number: 191
• Following prime number: 193
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