Is 152 a prime number? What are the divisors of 152?

## Parity of 152

152 is an even number, because it is evenly divisible by 2: 152 / 2 = 76.

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## Is 152 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 152 is about 12.329.

Thus, the square root of 152 is not an integer, and therefore 152 is not a square number.

## What is the square number of 152?

The square of a number (here 152) is the result of the product of this number (152) by itself (i.e., 152 × 152); the square of 152 is sometimes called "raising 152 to the power 2", or "152 squared".

The square of 152 is 23 104 because 152 × 152 = 1522 = 23 104.

As a consequence, 152 is the square root of 23 104.

## Number of digits of 152

152 is a number with 3 digits.

## What are the multiples of 152?

The multiples of 152 are all integers evenly divisible by 152, that is all numbers such that the remainder of the division by 152 is zero. There are infinitely many multiples of 152. The smallest multiples of 152 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 152 too, since 0 × 152 = 0
• 152: indeed, 152 is a multiple of itself, since 152 is evenly divisible by 152 (we have 152 / 152 = 1, so the remainder of this division is indeed zero)
• 304: indeed, 304 = 152 × 2
• 456: indeed, 456 = 152 × 3
• 608: indeed, 608 = 152 × 4
• 760: indeed, 760 = 152 × 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 152). 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 12.329). 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 152

• Preceding numbers: …150, 151
• Following numbers: 153, 154

### Nearest numbers from 152

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