Is 44 a prime number? What are the divisors of 44?

Is 44 a prime number?

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

For 44, the answer is: No, 44 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 44) is as follows: 1, 2, 4, 11, 22, 44.

To be 44 a prime number, it would have been required that 44 has only two divisors, i.e., itself and 1.

As a consequence:

  • 44 is a multiple of 1
  • 44 is a multiple of 2
  • 44 is a multiple of 4
  • 44 is a multiple of 11
  • 44 is a multiple of 22

To be 44 a prime number, it would have been required that 44 has only two divisors, i.e., itself and 1.

Is 44 a deficient number?

Yes, 44 is a deficient number, that is to say 44 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 44 without 44 itself (that is 1 + 2 + 4 + 11 + 22 = 40).

Parity of 44

44 is an even number, because it is evenly divisible by 2: 44 / 2 = 22.

Is 44 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 44 is about 6.633.

Thus, the square root of 44 is not an integer, and therefore 44 is not a square number.

What is the square number of 44?

The square of a number (here 44) is the result of the product of this number (44) by itself (i.e., 44 × 44); the square of 44 is sometimes called "raising 44 to the power 2", or "44 squared".

The square of 44 is 1 936 because 44 × 44 = 442 = 1 936.

As a consequence, 44 is the square root of 1 936.

Number of digits of 44

44 is a number with 2 digits.

What are the multiples of 44?

The multiples of 44 are all integers evenly divisible by 44, that is all numbers such that the remainder of the division by 44 is zero. There are infinitely many multiples of 44. The smallest multiples of 44 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 44 too, since 0 × 44 = 0
  • 44: indeed, 44 is a multiple of itself, since 44 is evenly divisible by 44 (we have 44 / 44 = 1, so the remainder of this division is indeed zero)
  • 88: indeed, 88 = 44 × 2
  • 132: indeed, 132 = 44 × 3
  • 176: indeed, 176 = 44 × 4
  • 220: indeed, 220 = 44 × 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 44). 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 6.633). 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 44

  • Preceding numbers: …42, 43
  • Following numbers: 45, 46

Nearest numbers from 44

  • Preceding prime number: 43
  • Following prime number: 47
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