Is 889 a prime number? What are the divisors of 889?

Is 889 a prime number?

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

For 889, the answer is: No, 889 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 889) is as follows: 1, 7, 127, 889.

To be 889 a prime number, it would have been required that 889 has only two divisors, i.e., itself and 1.

As a consequence:

  • 889 is a multiple of 1
  • 889 is a multiple of 7
  • 889 is a multiple of 127

To be 889 a prime number, it would have been required that 889 has only two divisors, i.e., itself and 1.

However, 889 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 889 = 7 x 127, where 7 and 127 are both prime numbers.

Is 889 a deficient number?

Yes, 889 is a deficient number, that is to say 889 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 889 without 889 itself (that is 1 + 7 + 127 = 135).

Parity of 889

889 is an odd number, because it is not evenly divisible by 2.

Is 889 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 889 is about 29.816.

Thus, the square root of 889 is not an integer, and therefore 889 is not a square number.

What is the square number of 889?

The square of a number (here 889) is the result of the product of this number (889) by itself (i.e., 889 × 889); the square of 889 is sometimes called "raising 889 to the power 2", or "889 squared".

The square of 889 is 790 321 because 889 × 889 = 8892 = 790 321.

As a consequence, 889 is the square root of 790 321.

Number of digits of 889

889 is a number with 3 digits.

What are the multiples of 889?

The multiples of 889 are all integers evenly divisible by 889, that is all numbers such that the remainder of the division by 889 is zero. There are infinitely many multiples of 889. The smallest multiples of 889 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 889 too, since 0 × 889 = 0
  • 889: indeed, 889 is a multiple of itself, since 889 is evenly divisible by 889 (we have 889 / 889 = 1, so the remainder of this division is indeed zero)
  • 1 778: indeed, 1 778 = 889 × 2
  • 2 667: indeed, 2 667 = 889 × 3
  • 3 556: indeed, 3 556 = 889 × 4
  • 4 445: indeed, 4 445 = 889 × 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 889). 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 29.816). 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 889

  • Preceding numbers: …887, 888
  • Following numbers: 890, 891

Nearest numbers from 889

  • Preceding prime number: 887
  • Following prime number: 907
Find out whether some integer is a prime number