Is 835 a prime number?

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

For 835, the answer is: No, 835 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 835) is as follows: 1, 5, 167, 835.

For 835 to be a prime number, it would have been required that 835 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 835 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 835 is 5, so it is divisible by 5 and is therefore not prime.

As a consequence:

835 is a multiple of 1
835 is a multiple of 5
835 is a multiple of 167

For 835 to be a prime number, it would have been required that 835 has only two divisors, i.e., itself and 1.

However, 835 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 835 = 5 x 167, where 5 and 167 are both prime numbers.

Is 835 a deficient number?

Yes, 835 is a deficient number, that is to say 835 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 835 without 835 itself (that is 1 + 5 + 167 = 173).

Parity of 835

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

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What is an even number?

Is 835 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 835 is about 28.896.

Thus, the square root of 835 is not an integer, and therefore 835 is not a square number.

What is the square number of 835?

The square of a number (here 835) is the result of the product of this number (835) by itself (i.e., 835 × 835); the square of 835 is sometimes called "raising 835 to the power 2", or "835 squared".

The square of 835 is 697 225 because 835 × 835 = 835² = 697 225.

As a consequence, 835 is the square root of 697 225.

Number of digits of 835

835 is a number with 3 digits.

What are the multiples of 835?

The multiples of 835 are all integers evenly divisible by 835, that is all numbers such that the remainder of the division by 835 is zero. There are infinitely many multiples of 835. The smallest multiples of 835 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 835 too, since 0 × 835 = 0
835: indeed, 835 is a multiple of itself, since 835 is evenly divisible by 835 (we have 835 / 835 = 1, so the remainder of this division is indeed zero)
1 670: indeed, 1 670 = 835 × 2
2 505: indeed, 2 505 = 835 × 3
3 340: indeed, 3 340 = 835 × 4
4 175: indeed, 4 175 = 835 × 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 835). 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 28.896). 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 835

Preceding numbers: …833, 834
Following numbers: 836, 837…

Nearest numbers from 835

Preceding prime number: 829
Following prime number: 839