Is 832 a prime number? What are the divisors of 832?

Is 832 a prime number?

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

For 832, the answer is: No, 832 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 832) is as follows: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.

To be 832 a prime number, it would have been required that 832 has only two divisors, i.e., itself and 1.

As a consequence:

  • 832 is a multiple of 1
  • 832 is a multiple of 2
  • 832 is a multiple of 4
  • 832 is a multiple of 8
  • 832 is a multiple of 13
  • 832 is a multiple of 16
  • 832 is a multiple of 26
  • 832 is a multiple of 32
  • 832 is a multiple of 52
  • 832 is a multiple of 64
  • 832 is a multiple of 104
  • 832 is a multiple of 208
  • 832 is a multiple of 416

To be 832 a prime number, it would have been required that 832 has only two divisors, i.e., itself and 1.

Is 832 a deficient number?

No, 832 is not a deficient number: to be deficient, 832 should have been such that 832 is larger than the sum of its proper divisors, i.e., the divisors of 832 without 832 itself (that is 1 + 2 + 4 + 8 + 13 + 16 + 26 + 32 + 52 + 64 + 104 + 208 + 416 = 946).

In fact, 832 is an abundant number; 832 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 8 + 13 + 16 + 26 + 32 + 52 + 64 + 104 + 208 + 416 = 946). The smallest abundant number is 12.

Parity of 832

832 is an even number, because it is evenly divisible by 2: 832 / 2 = 416.

Is 832 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 832 is about 28.844.

Thus, the square root of 832 is not an integer, and therefore 832 is not a square number.

What is the square number of 832?

The square of a number (here 832) is the result of the product of this number (832) by itself (i.e., 832 × 832); the square of 832 is sometimes called "raising 832 to the power 2", or "832 squared".

The square of 832 is 692 224 because 832 × 832 = 8322 = 692 224.

As a consequence, 832 is the square root of 692 224.

Number of digits of 832

832 is a number with 3 digits.

What are the multiples of 832?

The multiples of 832 are all integers evenly divisible by 832, that is all numbers such that the remainder of the division by 832 is zero. There are infinitely many multiples of 832. The smallest multiples of 832 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 832 too, since 0 × 832 = 0
  • 832: indeed, 832 is a multiple of itself, since 832 is evenly divisible by 832 (we have 832 / 832 = 1, so the remainder of this division is indeed zero)
  • 1 664: indeed, 1 664 = 832 × 2
  • 2 496: indeed, 2 496 = 832 × 3
  • 3 328: indeed, 3 328 = 832 × 4
  • 4 160: indeed, 4 160 = 832 × 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 832). 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 28.844). 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 832

  • Preceding numbers: …830, 831
  • Following numbers: 833, 834

Nearest numbers from 832

  • Preceding prime number: 829
  • Following prime number: 839
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