Is 114 a prime number? What are the divisors of 114?

## Parity of 114

114 is an even number, because it is evenly divisible by 2: 114 / 2 = 57.

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## Is 114 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 114 is about 10.677.

Thus, the square root of 114 is not an integer, and therefore 114 is not a square number.

## What is the square number of 114?

The square of a number (here 114) is the result of the product of this number (114) by itself (i.e., 114 × 114); the square of 114 is sometimes called "raising 114 to the power 2", or "114 squared".

The square of 114 is 12 996 because 114 × 114 = 1142 = 12 996.

As a consequence, 114 is the square root of 12 996.

## Number of digits of 114

114 is a number with 3 digits.

## What are the multiples of 114?

The multiples of 114 are all integers evenly divisible by 114, that is all numbers such that the remainder of the division by 114 is zero. There are infinitely many multiples of 114. The smallest multiples of 114 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 114 too, since 0 × 114 = 0
• 114: indeed, 114 is a multiple of itself, since 114 is evenly divisible by 114 (we have 114 / 114 = 1, so the remainder of this division is indeed zero)
• 228: indeed, 228 = 114 × 2
• 342: indeed, 342 = 114 × 3
• 456: indeed, 456 = 114 × 4
• 570: indeed, 570 = 114 × 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 114). 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 10.677). 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 114

• Preceding numbers: …112, 113
• Following numbers: 115, 116

### Nearest numbers from 114

• Preceding prime number: 113
• Following prime number: 127
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