Is 182 a prime number? What are the divisors of 182?

## Parity of 182

182 is an even number, because it is evenly divisible by 2: 182 / 2 = 91.

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## Is 182 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 182 is about 13.491.

Thus, the square root of 182 is not an integer, and therefore 182 is not a square number.

## What is the square number of 182?

The square of a number (here 182) is the result of the product of this number (182) by itself (i.e., 182 × 182); the square of 182 is sometimes called "raising 182 to the power 2", or "182 squared".

The square of 182 is 33 124 because 182 × 182 = 1822 = 33 124.

As a consequence, 182 is the square root of 33 124.

## Number of digits of 182

182 is a number with 3 digits.

## What are the multiples of 182?

The multiples of 182 are all integers evenly divisible by 182, that is all numbers such that the remainder of the division by 182 is zero. There are infinitely many multiples of 182. The smallest multiples of 182 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 182 too, since 0 × 182 = 0
• 182: indeed, 182 is a multiple of itself, since 182 is evenly divisible by 182 (we have 182 / 182 = 1, so the remainder of this division is indeed zero)
• 364: indeed, 364 = 182 × 2
• 546: indeed, 546 = 182 × 3
• 728: indeed, 728 = 182 × 4
• 910: indeed, 910 = 182 × 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 182). 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 13.491). 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 182

• Preceding numbers: …180, 181
• Following numbers: 183, 184

### Nearest numbers from 182

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