Is 879 a prime number?

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

For 879, the answer is: No, 879 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 879) is as follows: 1, 3, 293, 879.

For 879 to be a prime number, it would have been required that 879 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

879 is a multiple of 1
879 is a multiple of 3
879 is a multiple of 293

For 879 to be a prime number, it would have been required that 879 has only two divisors, i.e., itself and 1.

However, 879 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 879 = 3 x 293, where 3 and 293 are both prime numbers.

Is 879 a deficient number?

Yes, 879 is a deficient number, that is to say 879 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 879 without 879 itself (that is 1 + 3 + 293 = 297).

Parity of 879

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

Find out more:

What is an even number?

Is 879 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 879 is about 29.648.

Thus, the square root of 879 is not an integer, and therefore 879 is not a square number.

What is the square number of 879?

The square of a number (here 879) is the result of the product of this number (879) by itself (i.e., 879 × 879); the square of 879 is sometimes called "raising 879 to the power 2", or "879 squared".

The square of 879 is 772 641 because 879 × 879 = 879² = 772 641.

As a consequence, 879 is the square root of 772 641.

Number of digits of 879

879 is a number with 3 digits.

What are the multiples of 879?

The multiples of 879 are all integers evenly divisible by 879, that is all numbers such that the remainder of the division by 879 is zero. There are infinitely many multiples of 879. The smallest multiples of 879 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 879 too, since 0 × 879 = 0
879: indeed, 879 is a multiple of itself, since 879 is evenly divisible by 879 (we have 879 / 879 = 1, so the remainder of this division is indeed zero)
1 758: indeed, 1 758 = 879 × 2
2 637: indeed, 2 637 = 879 × 3
3 516: indeed, 3 516 = 879 × 4
4 395: indeed, 4 395 = 879 × 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 879). 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 29.648). 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 879

Preceding numbers: …877, 878
Following numbers: 880, 881…

Nearest numbers from 879

Preceding prime number: 877
Following prime number: 881