Is 238 a prime number? What are the divisors of 238?

Parity of 238

238 is an even number, because it is evenly divisible by 2: 238 / 2 = 119.

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Is 238 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 238 is about 15.427.

Thus, the square root of 238 is not an integer, and therefore 238 is not a square number.

What is the square number of 238?

The square of a number (here 238) is the result of the product of this number (238) by itself (i.e., 238 × 238); the square of 238 is sometimes called "raising 238 to the power 2", or "238 squared".

The square of 238 is 56 644 because 238 × 238 = 2382 = 56 644.

As a consequence, 238 is the square root of 56 644.

Number of digits of 238

238 is a number with 3 digits.

What are the multiples of 238?

The multiples of 238 are all integers evenly divisible by 238, that is all numbers such that the remainder of the division by 238 is zero. There are infinitely many multiples of 238. The smallest multiples of 238 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 238 too, since 0 × 238 = 0
  • 238: indeed, 238 is a multiple of itself, since 238 is evenly divisible by 238 (we have 238 / 238 = 1, so the remainder of this division is indeed zero)
  • 476: indeed, 476 = 238 × 2
  • 714: indeed, 714 = 238 × 3
  • 952: indeed, 952 = 238 × 4
  • 1 190: indeed, 1 190 = 238 × 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 238). 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 15.427). 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 238

  • Preceding numbers: …236, 237
  • Following numbers: 239, 240…

Nearest numbers from 238

  • Preceding prime number: 233
  • Following prime number: 239
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