Is 54 a prime number? What are the divisors of 54?

## Parity of 54

54 is an even number, because it is evenly divisible by 2: 54 / 2 = 27.

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## Is 54 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 54 is about 7.348.

Thus, the square root of 54 is not an integer, and therefore 54 is not a square number.

## What is the square number of 54?

The square of a number (here 54) is the result of the product of this number (54) by itself (i.e., 54 × 54); the square of 54 is sometimes called "raising 54 to the power 2", or "54 squared".

The square of 54 is 2 916 because 54 × 54 = 542 = 2 916.

As a consequence, 54 is the square root of 2 916.

## Number of digits of 54

54 is a number with 2 digits.

## What are the multiples of 54?

The multiples of 54 are all integers evenly divisible by 54, that is all numbers such that the remainder of the division by 54 is zero. There are infinitely many multiples of 54. The smallest multiples of 54 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 54 too, since 0 × 54 = 0
• 54: indeed, 54 is a multiple of itself, since 54 is evenly divisible by 54 (we have 54 / 54 = 1, so the remainder of this division is indeed zero)
• 108: indeed, 108 = 54 × 2
• 162: indeed, 162 = 54 × 3
• 216: indeed, 216 = 54 × 4
• 270: indeed, 270 = 54 × 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 54). 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 7.348). 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 54

• Preceding numbers: …52, 53
• Following numbers: 55, 56

### Nearest numbers from 54

• Preceding prime number: 53
• Following prime number: 59
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