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887is an odd number,as it is not divisible by 2
The factors for 887 are all the numbers between -887 and 887 , which divide 887 without leaving any remainder. Since 887 divided by -887 is an integer, -887 is a factor of 887 .
Since 887 divided by -887 is a whole number, -887 is a factor of 887
Since 887 divided by -1 is a whole number, -1 is a factor of 887
Since 887 divided by 1 is a whole number, 1 is a factor of 887
Multiples of 887 are all integers divisible by 887 , i.e. the remainder of the full division by 887 is zero. There are infinite multiples of 887. The smallest multiples of 887 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 887 since 0 × 887 = 0
887 : in fact, 887 is a multiple of itself, since 887 is divisible by 887 (it was 887 / 887 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 887, the answer is: yes, 887 is a prime number because it only has two different divisors: 1 and itself (887).
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 887). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 29.783 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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