Is 168 a prime number? What are the divisors of 168?

## Parity of 168

168 is an even number, because it is evenly divisible by 2: 168 / 2 = 84.

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## Is 168 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 168 is about 12.961.

Thus, the square root of 168 is not an integer, and therefore 168 is not a square number.

## What is the square number of 168?

The square of a number (here 168) is the result of the product of this number (168) by itself (i.e., 168 × 168); the square of 168 is sometimes called "raising 168 to the power 2", or "168 squared".

The square of 168 is 28 224 because 168 × 168 = 1682 = 28 224.

As a consequence, 168 is the square root of 28 224.

## Number of digits of 168

168 is a number with 3 digits.

## What are the multiples of 168?

The multiples of 168 are all integers evenly divisible by 168, that is all numbers such that the remainder of the division by 168 is zero. There are infinitely many multiples of 168. The smallest multiples of 168 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 168 too, since 0 × 168 = 0
• 168: indeed, 168 is a multiple of itself, since 168 is evenly divisible by 168 (we have 168 / 168 = 1, so the remainder of this division is indeed zero)
• 336: indeed, 336 = 168 × 2
• 504: indeed, 504 = 168 × 3
• 672: indeed, 672 = 168 × 4
• 840: indeed, 840 = 168 × 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 168). 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 12.961). 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 168

• Preceding numbers: …166, 167
• Following numbers: 169, 170

### Nearest numbers from 168

• Preceding prime number: 167
• Following prime number: 173
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