Is 887 a prime number?

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

Find out more:

• What is an even 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 887 is about 29.783.

Thus, the square root of 887 is not an integer, and therefore 887 is not a square number.

Anyway, 887 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 887) is the result of the product of this number (887) by itself (i.e., 887 × 887); the square of 887 is sometimes called "raising 887 to the power 2", or "887 squared".

The square of 887 is 786 769 because 887 × 887 = 887² = 786 769.

As a consequence, 887 is the square root of 786 769.

887 is a number with 3 digits.

The multiples of 887 are all integers evenly divisible by 887, that is all numbers such that the remainder of the division by 887 is zero. There are infinitely many multiples of 887. The smallest multiples of 887 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 887 too, since 0 × 887 = 0
• 887: indeed, 887 is a multiple of itself, since 887 is evenly divisible by 887 (we have 887 / 887 = 1, so the remainder of this division is indeed zero)
• 1 774: indeed, 1 774 = 887 × 2
• 2 661: indeed, 2 661 = 887 × 3
• 3 548: indeed, 3 548 = 887 × 4
• 4 435: indeed, 4 435 = 887 × 5
• etc.

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 887). 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 29.783). 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.

• Preceding numbers: …885, 886
• Following numbers: 888, 889…

Nearest numbers from 887

• Preceding prime number: 883
• Following prime number: 907

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• 887 est-il un nombre premier ?