Is 362 a prime number?

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

For 362, the answer is: No, 362 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 362) is as follows: 1, 2, 181, 362.

For 362 to be a prime number, it would have been required that 362 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

362 is a multiple of 1
362 is a multiple of 2
362 is a multiple of 181

For 362 to be a prime number, it would have been required that 362 has only two divisors, i.e., itself and 1.

However, 362 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 362 = 2 x 181, where 2 and 181 are both prime numbers.

Is 362 a deficient number?

Yes, 362 is a deficient number, that is to say 362 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 362 without 362 itself (that is 1 + 2 + 181 = 184).

Parity of 362

362 is an even number, because it is evenly divisible by 2: 362 / 2 = 181.

Find out more:

What is an even number?

Is 362 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 362 is about 19.026.

Thus, the square root of 362 is not an integer, and therefore 362 is not a square number.

What is the square number of 362?

The square of a number (here 362) is the result of the product of this number (362) by itself (i.e., 362 × 362); the square of 362 is sometimes called "raising 362 to the power 2", or "362 squared".

The square of 362 is 131 044 because 362 × 362 = 362² = 131 044.

As a consequence, 362 is the square root of 131 044.

Number of digits of 362

362 is a number with 3 digits.

What are the multiples of 362?

The multiples of 362 are all integers evenly divisible by 362, that is all numbers such that the remainder of the division by 362 is zero. There are infinitely many multiples of 362. The smallest multiples of 362 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 362 too, since 0 × 362 = 0
362: indeed, 362 is a multiple of itself, since 362 is evenly divisible by 362 (we have 362 / 362 = 1, so the remainder of this division is indeed zero)
724: indeed, 724 = 362 × 2
1 086: indeed, 1 086 = 362 × 3
1 448: indeed, 1 448 = 362 × 4
1 810: indeed, 1 810 = 362 × 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 362). 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 19.026). 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 362

Preceding numbers: …360, 361
Following numbers: 363, 364…

Nearest numbers from 362

Preceding prime number: 359
Following prime number: 367