Is 888 a prime number?

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

For 888, the answer is: No, 888 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 888) is as follows: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.

For 888 to be a prime number, it would have been required that 888 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

888 is a multiple of 1
888 is a multiple of 2
888 is a multiple of 3
888 is a multiple of 4
888 is a multiple of 6
888 is a multiple of 8
888 is a multiple of 12
888 is a multiple of 24
888 is a multiple of 37
888 is a multiple of 74
888 is a multiple of 111
888 is a multiple of 148
888 is a multiple of 222
888 is a multiple of 296
888 is a multiple of 444

For 888 to be a prime number, it would have been required that 888 has only two divisors, i.e., itself and 1.

Is 888 a deficient number?

No, 888 is not a deficient number: to be deficient, 888 should have been such that 888 is larger than the sum of its proper divisors, i.e., the divisors of 888 without 888 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 37 + 74 + 111 + 148 + 222 + 296 + 444 = 1 392).

In fact, 888 is an abundant number; 888 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 37 + 74 + 111 + 148 + 222 + 296 + 444 = 1 392). The smallest abundant number is 12.

Parity of 888

888 is an even number, because it is evenly divisible by 2: 888 / 2 = 444.

Find out more:

What is an even number?

Is 888 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 888 is about 29.799.

Thus, the square root of 888 is not an integer, and therefore 888 is not a square number.

What is the square number of 888?

The square of a number (here 888) is the result of the product of this number (888) by itself (i.e., 888 × 888); the square of 888 is sometimes called "raising 888 to the power 2", or "888 squared".

The square of 888 is 788 544 because 888 × 888 = 888² = 788 544.

As a consequence, 888 is the square root of 788 544.

Number of digits of 888

888 is a number with 3 digits.

What are the multiples of 888?

The multiples of 888 are all integers evenly divisible by 888, that is all numbers such that the remainder of the division by 888 is zero. There are infinitely many multiples of 888. The smallest multiples of 888 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 888 too, since 0 × 888 = 0
888: indeed, 888 is a multiple of itself, since 888 is evenly divisible by 888 (we have 888 / 888 = 1, so the remainder of this division is indeed zero)
1 776: indeed, 1 776 = 888 × 2
2 664: indeed, 2 664 = 888 × 3
3 552: indeed, 3 552 = 888 × 4
4 440: indeed, 4 440 = 888 × 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 888). 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 29.799). 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 888

Preceding numbers: …886, 887
Following numbers: 889, 890…

Nearest numbers from 888

Preceding prime number: 887
Following prime number: 907