Is 194 a prime number? What are the divisors of 194?

## Parity of 194

194 is an even number, because it is evenly divisible by 2: 194 / 2 = 97.

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## Is 194 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 194 is about 13.928.

Thus, the square root of 194 is not an integer, and therefore 194 is not a square number.

## What is the square number of 194?

The square of a number (here 194) is the result of the product of this number (194) by itself (i.e., 194 × 194); the square of 194 is sometimes called "raising 194 to the power 2", or "194 squared".

The square of 194 is 37 636 because 194 × 194 = 1942 = 37 636.

As a consequence, 194 is the square root of 37 636.

## Number of digits of 194

194 is a number with 3 digits.

## What are the multiples of 194?

The multiples of 194 are all integers evenly divisible by 194, that is all numbers such that the remainder of the division by 194 is zero. There are infinitely many multiples of 194. The smallest multiples of 194 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 194 too, since 0 × 194 = 0
• 194: indeed, 194 is a multiple of itself, since 194 is evenly divisible by 194 (we have 194 / 194 = 1, so the remainder of this division is indeed zero)
• 388: indeed, 388 = 194 × 2
• 582: indeed, 582 = 194 × 3
• 776: indeed, 776 = 194 × 4
• 970: indeed, 970 = 194 × 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 194). 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 13.928). 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 194

• Preceding numbers: …192, 193
• Following numbers: 195, 196

### Nearest numbers from 194

• Preceding prime number: 193
• Following prime number: 197
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