Is 242 a prime number? What are the divisors of 242?

Parity of 242

242 is an even number, because it is evenly divisible by 2: 242 / 2 = 121.

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Is 242 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 242 is about 15.556.

Thus, the square root of 242 is not an integer, and therefore 242 is not a square number.

What is the square number of 242?

The square of a number (here 242) is the result of the product of this number (242) by itself (i.e., 242 × 242); the square of 242 is sometimes called "raising 242 to the power 2", or "242 squared".

The square of 242 is 58 564 because 242 × 242 = 2422 = 58 564.

As a consequence, 242 is the square root of 58 564.

Number of digits of 242

242 is a number with 3 digits.

What are the multiples of 242?

The multiples of 242 are all integers evenly divisible by 242, that is all numbers such that the remainder of the division by 242 is zero. There are infinitely many multiples of 242. The smallest multiples of 242 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 242 too, since 0 × 242 = 0
  • 242: indeed, 242 is a multiple of itself, since 242 is evenly divisible by 242 (we have 242 / 242 = 1, so the remainder of this division is indeed zero)
  • 484: indeed, 484 = 242 × 2
  • 726: indeed, 726 = 242 × 3
  • 968: indeed, 968 = 242 × 4
  • 1 210: indeed, 1 210 = 242 × 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 242). 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 15.556). 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 242

  • Preceding numbers: …240, 241
  • Following numbers: 243, 244…

Nearest numbers from 242

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