Is 150 a prime number? What are the divisors of 150?

## Parity of 150

150 is an even number, because it is evenly divisible by 2: 150 / 2 = 75.

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## Is 150 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 150 is about 12.247.

Thus, the square root of 150 is not an integer, and therefore 150 is not a square number.

## What is the square number of 150?

The square of a number (here 150) is the result of the product of this number (150) by itself (i.e., 150 × 150); the square of 150 is sometimes called "raising 150 to the power 2", or "150 squared".

The square of 150 is 22 500 because 150 × 150 = 1502 = 22 500.

As a consequence, 150 is the square root of 22 500.

## Number of digits of 150

150 is a number with 3 digits.

## What are the multiples of 150?

The multiples of 150 are all integers evenly divisible by 150, that is all numbers such that the remainder of the division by 150 is zero. There are infinitely many multiples of 150. The smallest multiples of 150 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 150 too, since 0 × 150 = 0
• 150: indeed, 150 is a multiple of itself, since 150 is evenly divisible by 150 (we have 150 / 150 = 1, so the remainder of this division is indeed zero)
• 300: indeed, 300 = 150 × 2
• 450: indeed, 450 = 150 × 3
• 600: indeed, 600 = 150 × 4
• 750: indeed, 750 = 150 × 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 150). 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 12.247). 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 150

• Preceding numbers: …148, 149
• Following numbers: 151, 152

### Nearest numbers from 150

• Preceding prime number: 149
• Following prime number: 151
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