Is 853 a prime number? What are the divisors of 853?

Is 853 a prime number?

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

For 853, the answer is: yes, 853 is a prime number because it has only two distinct divisors: 1 and itself (853).

As a consequence, 853 is only a multiple of 1 and 853..

Since 853 is a prime number, 853 is also a deficient number, that is to say 853 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 853 without 853 itself (that is 1, by definition!).

Parity of 853

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

Is 853 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 853 is about 29.206.

Thus, the square root of 853 is not an integer, and therefore 853 is not a square number.

Anyway, 853 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 853?

The square of a number (here 853) is the result of the product of this number (853) by itself (i.e., 853 × 853); the square of 853 is sometimes called "raising 853 to the power 2", or "853 squared".

The square of 853 is 727 609 because 853 × 853 = 8532 = 727 609.

As a consequence, 853 is the square root of 727 609.

Number of digits of 853

853 is a number with 3 digits.

What are the multiples of 853?

The multiples of 853 are all integers evenly divisible by 853, that is all numbers such that the remainder of the division by 853 is zero. There are infinitely many multiples of 853. The smallest multiples of 853 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 853 too, since 0 × 853 = 0
  • 853: indeed, 853 is a multiple of itself, since 853 is evenly divisible by 853 (we have 853 / 853 = 1, so the remainder of this division is indeed zero)
  • 1 706: indeed, 1 706 = 853 × 2
  • 2 559: indeed, 2 559 = 853 × 3
  • 3 412: indeed, 3 412 = 853 × 4
  • 4 265: indeed, 4 265 = 853 × 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 853). 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 29.206). 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 853

  • Preceding numbers: …851, 852
  • Following numbers: 854, 855

Nearest numbers from 853

  • Preceding prime number: 839
  • Following prime number: 857
Find out whether some integer is a prime number