Is 356 a prime number? What are the divisors of 356?

## Parity of 356

356 is an even number, because it is evenly divisible by 2: 356 / 2 = 178.

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## Is 356 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 356 is about 18.868.

Thus, the square root of 356 is not an integer, and therefore 356 is not a square number.

## What is the square number of 356?

The square of a number (here 356) is the result of the product of this number (356) by itself (i.e., 356 × 356); the square of 356 is sometimes called "raising 356 to the power 2", or "356 squared".

The square of 356 is 126 736 because 356 × 356 = 3562 = 126 736.

As a consequence, 356 is the square root of 126 736.

## Number of digits of 356

356 is a number with 3 digits.

## What are the multiples of 356?

The multiples of 356 are all integers evenly divisible by 356, that is all numbers such that the remainder of the division by 356 is zero. There are infinitely many multiples of 356. The smallest multiples of 356 are:

## 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 356). 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 18.868). 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 356

• Preceding numbers: …354, 355
• Following numbers: 357, 358

### Nearest numbers from 356

• Preceding prime number: 353
• Following prime number: 359
Find out whether some integer is a prime number