Is 250 a prime number? What are the divisors of 250?

## Parity of 250

250 is an even number, because it is evenly divisible by 2: 250 / 2 = 125.

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## Is 250 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 250 is about 15.811.

Thus, the square root of 250 is not an integer, and therefore 250 is not a square number.

## What is the square number of 250?

The square of a number (here 250) is the result of the product of this number (250) by itself (i.e., 250 × 250); the square of 250 is sometimes called "raising 250 to the power 2", or "250 squared".

The square of 250 is 62 500 because 250 × 250 = 2502 = 62 500.

As a consequence, 250 is the square root of 62 500.

## Number of digits of 250

250 is a number with 3 digits.

## What are the multiples of 250?

The multiples of 250 are all integers evenly divisible by 250, that is all numbers such that the remainder of the division by 250 is zero. There are infinitely many multiples of 250. The smallest multiples of 250 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 250). 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 15.811). 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 250

• Preceding numbers: …248, 249
• Following numbers: 251, 252

### Nearest numbers from 250

• Preceding prime number: 241
• Following prime number: 251
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