Is 188 a prime number? What are the divisors of 188?

## Parity of 188

188 is an even number, because it is evenly divisible by 2: 188 / 2 = 94.

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## Is 188 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 188 is about 13.711.

Thus, the square root of 188 is not an integer, and therefore 188 is not a square number.

## What is the square number of 188?

The square of a number (here 188) is the result of the product of this number (188) by itself (i.e., 188 × 188); the square of 188 is sometimes called "raising 188 to the power 2", or "188 squared".

The square of 188 is 35 344 because 188 × 188 = 1882 = 35 344.

As a consequence, 188 is the square root of 35 344.

## Number of digits of 188

188 is a number with 3 digits.

## What are the multiples of 188?

The multiples of 188 are all integers evenly divisible by 188, that is all numbers such that the remainder of the division by 188 is zero. There are infinitely many multiples of 188. The smallest multiples of 188 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 188 too, since 0 × 188 = 0
• 188: indeed, 188 is a multiple of itself, since 188 is evenly divisible by 188 (we have 188 / 188 = 1, so the remainder of this division is indeed zero)
• 376: indeed, 376 = 188 × 2
• 564: indeed, 564 = 188 × 3
• 752: indeed, 752 = 188 × 4
• 940: indeed, 940 = 188 × 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 188). 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 13.711). 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 188

• Preceding numbers: …186, 187
• Following numbers: 189, 190

### Nearest numbers from 188

• Preceding prime number: 181
• Following prime number: 191
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