Is 880 a prime number?

880 is an even number, because it is evenly divisible by 2: 880 / 2 = 440.

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 880 is about 29.665.

Thus, the square root of 880 is not an integer, and therefore 880 is not a square number.

The square of a number (here 880) is the result of the product of this number (880) by itself (i.e., 880 × 880); the square of 880 is sometimes called "raising 880 to the power 2", or "880 squared".

The square of 880 is 774 400 because 880 × 880 = 880² = 774 400.

As a consequence, 880 is the square root of 774 400.

880 is a number with 3 digits.

The multiples of 880 are all integers evenly divisible by 880, that is all numbers such that the remainder of the division by 880 is zero. There are infinitely many multiples of 880. The smallest multiples of 880 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 880 too, since 0 × 880 = 0
• 880: indeed, 880 is a multiple of itself, since 880 is evenly divisible by 880 (we have 880 / 880 = 1, so the remainder of this division is indeed zero)
• 1 760: indeed, 1 760 = 880 × 2
• 2 640: indeed, 2 640 = 880 × 3
• 3 520: indeed, 3 520 = 880 × 4
• 4 400: indeed, 4 400 = 880 × 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 880). 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 29.665). 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: …878, 879
• Following numbers: 881, 882…

Nearest numbers from 880

• Preceding prime number: 877
• Following prime number: 881

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• 880 est-il un nombre premier ?