Is 232 a prime number? What are the divisors of 232?

## Parity of 232

232 is an even number, because it is evenly divisible by 2: 232 / 2 = 116.

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## Is 232 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 232 is about 15.232.

Thus, the square root of 232 is not an integer, and therefore 232 is not a square number.

## What is the square number of 232?

The square of a number (here 232) is the result of the product of this number (232) by itself (i.e., 232 × 232); the square of 232 is sometimes called "raising 232 to the power 2", or "232 squared".

The square of 232 is 53 824 because 232 × 232 = 2322 = 53 824.

As a consequence, 232 is the square root of 53 824.

## Number of digits of 232

232 is a number with 3 digits.

## What are the multiples of 232?

The multiples of 232 are all integers evenly divisible by 232, that is all numbers such that the remainder of the division by 232 is zero. There are infinitely many multiples of 232. The smallest multiples of 232 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 232 too, since 0 × 232 = 0
• 232: indeed, 232 is a multiple of itself, since 232 is evenly divisible by 232 (we have 232 / 232 = 1, so the remainder of this division is indeed zero)
• 464: indeed, 464 = 232 × 2
• 696: indeed, 696 = 232 × 3
• 928: indeed, 928 = 232 × 4
• 1 160: indeed, 1 160 = 232 × 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 232). 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 15.232). 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 232

• Preceding numbers: …230, 231
• Following numbers: 233, 234

### Nearest numbers from 232

• Preceding prime number: 229
• Following prime number: 233
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