Is 244 a prime number? What are the divisors of 244?

Is 244 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 244, the answer is: No, 244 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 244) is as follows: 1, 2, 4, 61, 122, 244.

To be 244 a prime number, it would have been required that 244 has only two divisors, i.e., itself and 1.

As a consequence:

  • 244 is a multiple of 1
  • 244 is a multiple of 2
  • 244 is a multiple of 4
  • 244 is a multiple of 61
  • 244 is a multiple of 122

To be 244 a prime number, it would have been required that 244 has only two divisors, i.e., itself and 1.

Is 244 a deficient number?

Yes, 244 is a deficient number, that is to say 244 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 244 without 244 itself (that is 1 + 2 + 4 + 61 + 122 = 190).

Parity of 244

244 is an even number, because it is evenly divisible by 2: 244 / 2 = 122.

Is 244 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 244 is about 15.620.

Thus, the square root of 244 is not an integer, and therefore 244 is not a square number.

What is the square number of 244?

The square of a number (here 244) is the result of the product of this number (244) by itself (i.e., 244 × 244); the square of 244 is sometimes called "raising 244 to the power 2", or "244 squared".

The square of 244 is 59 536 because 244 × 244 = 2442 = 59 536.

As a consequence, 244 is the square root of 59 536.

Number of digits of 244

244 is a number with 3 digits.

What are the multiples of 244?

The multiples of 244 are all integers evenly divisible by 244, that is all numbers such that the remainder of the division by 244 is zero. There are infinitely many multiples of 244. The smallest multiples of 244 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 244 too, since 0 × 244 = 0
  • 244: indeed, 244 is a multiple of itself, since 244 is evenly divisible by 244 (we have 244 / 244 = 1, so the remainder of this division is indeed zero)
  • 488: indeed, 488 = 244 × 2
  • 732: indeed, 732 = 244 × 3
  • 976: indeed, 976 = 244 × 4
  • 1 220: indeed, 1 220 = 244 × 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 244). 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 15.620). 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 244

  • Preceding numbers: …242, 243
  • Following numbers: 245, 246

Nearest numbers from 244

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