Is 882 a prime number?

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

For 882, the answer is: No, 882 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 882) is as follows: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.

For 882 to be a prime number, it would have been required that 882 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

882 is a multiple of 1
882 is a multiple of 2
882 is a multiple of 3
882 is a multiple of 6
882 is a multiple of 7
882 is a multiple of 9
882 is a multiple of 14
882 is a multiple of 18
882 is a multiple of 21
882 is a multiple of 42
882 is a multiple of 49
882 is a multiple of 63
882 is a multiple of 98
882 is a multiple of 126
882 is a multiple of 147
882 is a multiple of 294
882 is a multiple of 441

For 882 to be a prime number, it would have been required that 882 has only two divisors, i.e., itself and 1.

Is 882 a deficient number?

No, 882 is not a deficient number: to be deficient, 882 should have been such that 882 is larger than the sum of its proper divisors, i.e., the divisors of 882 without 882 itself (that is 1 + 2 + 3 + 6 + 7 + 9 + 14 + 18 + 21 + 42 + 49 + 63 + 98 + 126 + 147 + 294 + 441 = 1 341).

In fact, 882 is an abundant number; 882 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 7 + 9 + 14 + 18 + 21 + 42 + 49 + 63 + 98 + 126 + 147 + 294 + 441 = 1 341). The smallest abundant number is 12.

Parity of 882

882 is an even number, because it is evenly divisible by 2: 882 / 2 = 441.

Find out more:

What is an even number?

Is 882 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 882 is about 29.698.

Thus, the square root of 882 is not an integer, and therefore 882 is not a square number.

What is the square number of 882?

The square of a number (here 882) is the result of the product of this number (882) by itself (i.e., 882 × 882); the square of 882 is sometimes called "raising 882 to the power 2", or "882 squared".

The square of 882 is 777 924 because 882 × 882 = 882² = 777 924.

As a consequence, 882 is the square root of 777 924.

Number of digits of 882

882 is a number with 3 digits.

What are the multiples of 882?

The multiples of 882 are all integers evenly divisible by 882, that is all numbers such that the remainder of the division by 882 is zero. There are infinitely many multiples of 882. The smallest multiples of 882 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 882 too, since 0 × 882 = 0
882: indeed, 882 is a multiple of itself, since 882 is evenly divisible by 882 (we have 882 / 882 = 1, so the remainder of this division is indeed zero)
1 764: indeed, 1 764 = 882 × 2
2 646: indeed, 2 646 = 882 × 3
3 528: indeed, 3 528 = 882 × 4
4 410: indeed, 4 410 = 882 × 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 882). 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 29.698). 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 882

Preceding numbers: …880, 881
Following numbers: 883, 884…

Nearest numbers from 882

Preceding prime number: 881
Following prime number: 883