Is 156 a prime number? What are the divisors of 156?

## Parity of 156

156 is an even number, because it is evenly divisible by 2: 156 / 2 = 78.

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## Is 156 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 156 is about 12.490.

Thus, the square root of 156 is not an integer, and therefore 156 is not a square number.

## What is the square number of 156?

The square of a number (here 156) is the result of the product of this number (156) by itself (i.e., 156 × 156); the square of 156 is sometimes called "raising 156 to the power 2", or "156 squared".

The square of 156 is 24 336 because 156 × 156 = 1562 = 24 336.

As a consequence, 156 is the square root of 24 336.

## Number of digits of 156

156 is a number with 3 digits.

## What are the multiples of 156?

The multiples of 156 are all integers evenly divisible by 156, that is all numbers such that the remainder of the division by 156 is zero. There are infinitely many multiples of 156. The smallest multiples of 156 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 156 too, since 0 × 156 = 0
• 156: indeed, 156 is a multiple of itself, since 156 is evenly divisible by 156 (we have 156 / 156 = 1, so the remainder of this division is indeed zero)
• 312: indeed, 312 = 156 × 2
• 468: indeed, 468 = 156 × 3
• 624: indeed, 624 = 156 × 4
• 780: indeed, 780 = 156 × 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 156). 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 12.490). 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 156

• Preceding numbers: …154, 155
• Following numbers: 157, 158

### Nearest numbers from 156

• Preceding prime number: 151
• Following prime number: 157
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