Is 248 a prime number? What are the divisors of 248?

## Parity of 248

248 is an even number, because it is evenly divisible by 2: 248 / 2 = 124.

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## Is 248 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 248 is about 15.748.

Thus, the square root of 248 is not an integer, and therefore 248 is not a square number.

## What is the square number of 248?

The square of a number (here 248) is the result of the product of this number (248) by itself (i.e., 248 × 248); the square of 248 is sometimes called "raising 248 to the power 2", or "248 squared".

The square of 248 is 61 504 because 248 × 248 = 2482 = 61 504.

As a consequence, 248 is the square root of 61 504.

## Number of digits of 248

248 is a number with 3 digits.

## What are the multiples of 248?

The multiples of 248 are all integers evenly divisible by 248, that is all numbers such that the remainder of the division by 248 is zero. There are infinitely many multiples of 248. The smallest multiples of 248 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 248 too, since 0 × 248 = 0
• 248: indeed, 248 is a multiple of itself, since 248 is evenly divisible by 248 (we have 248 / 248 = 1, so the remainder of this division is indeed zero)
• 496: indeed, 496 = 248 × 2
• 744: indeed, 744 = 248 × 3
• 992: indeed, 992 = 248 × 4
• 1 240: indeed, 1 240 = 248 × 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 248). 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 15.748). 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 248

• Preceding numbers: …246, 247
• Following numbers: 249, 250

### Nearest numbers from 248

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