Is 382 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 382, the answer is: No, 382 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 382) is as follows: 1, 2, 191, 382.

For 382 to be a prime number, it would have been required that 382 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

382 is a multiple of 1
382 is a multiple of 2
382 is a multiple of 191

For 382 to be a prime number, it would have been required that 382 has only two divisors, i.e., itself and 1.

However, 382 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 382 = 2 x 191, where 2 and 191 are both prime numbers.

Is 382 a deficient number?

Yes, 382 is a deficient number, that is to say 382 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 382 without 382 itself (that is 1 + 2 + 191 = 194).

Parity of 382

382 is an even number, because it is evenly divisible by 2: 382 / 2 = 191.

Find out more:

What is an even number?

Is 382 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 382 is about 19.545.

Thus, the square root of 382 is not an integer, and therefore 382 is not a square number.

What is the square number of 382?

The square of a number (here 382) is the result of the product of this number (382) by itself (i.e., 382 × 382); the square of 382 is sometimes called "raising 382 to the power 2", or "382 squared".

The square of 382 is 145 924 because 382 × 382 = 382² = 145 924.

As a consequence, 382 is the square root of 145 924.

Number of digits of 382

382 is a number with 3 digits.

What are the multiples of 382?

The multiples of 382 are all integers evenly divisible by 382, that is all numbers such that the remainder of the division by 382 is zero. There are infinitely many multiples of 382. The smallest multiples of 382 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 382 too, since 0 × 382 = 0
382: indeed, 382 is a multiple of itself, since 382 is evenly divisible by 382 (we have 382 / 382 = 1, so the remainder of this division is indeed zero)
764: indeed, 764 = 382 × 2
1 146: indeed, 1 146 = 382 × 3
1 528: indeed, 1 528 = 382 × 4
1 910: indeed, 1 910 = 382 × 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 382). 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 19.545). 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 382

Preceding numbers: …380, 381
Following numbers: 383, 384…

Nearest numbers from 382

Preceding prime number: 379
Following prime number: 383