Is 876 a prime number?

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

For 876, the answer is: No, 876 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 876) is as follows: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876.

For 876 to be a prime number, it would have been required that 876 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

876 is a multiple of 1
876 is a multiple of 2
876 is a multiple of 3
876 is a multiple of 4
876 is a multiple of 6
876 is a multiple of 12
876 is a multiple of 73
876 is a multiple of 146
876 is a multiple of 219
876 is a multiple of 292
876 is a multiple of 438

For 876 to be a prime number, it would have been required that 876 has only two divisors, i.e., itself and 1.

Is 876 a deficient number?

No, 876 is not a deficient number: to be deficient, 876 should have been such that 876 is larger than the sum of its proper divisors, i.e., the divisors of 876 without 876 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 73 + 146 + 219 + 292 + 438 = 1 196).

In fact, 876 is an abundant number; 876 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 73 + 146 + 219 + 292 + 438 = 1 196). The smallest abundant number is 12.

Parity of 876

876 is an even number, because it is evenly divisible by 2: 876 / 2 = 438.

Find out more:

What is an even number?

Is 876 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 876 is about 29.597.

Thus, the square root of 876 is not an integer, and therefore 876 is not a square number.

What is the square number of 876?

The square of a number (here 876) is the result of the product of this number (876) by itself (i.e., 876 × 876); the square of 876 is sometimes called "raising 876 to the power 2", or "876 squared".

The square of 876 is 767 376 because 876 × 876 = 876² = 767 376.

As a consequence, 876 is the square root of 767 376.

Number of digits of 876

876 is a number with 3 digits.

What are the multiples of 876?

The multiples of 876 are all integers evenly divisible by 876, that is all numbers such that the remainder of the division by 876 is zero. There are infinitely many multiples of 876. The smallest multiples of 876 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 876 too, since 0 × 876 = 0
876: indeed, 876 is a multiple of itself, since 876 is evenly divisible by 876 (we have 876 / 876 = 1, so the remainder of this division is indeed zero)
1 752: indeed, 1 752 = 876 × 2
2 628: indeed, 2 628 = 876 × 3
3 504: indeed, 3 504 = 876 × 4
4 380: indeed, 4 380 = 876 × 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 876). 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 29.597). 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 876

Preceding numbers: …874, 875
Following numbers: 877, 878…

Nearest numbers from 876

Preceding prime number: 863
Following prime number: 877