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87is an odd number,as it is not divisible by 2
The factors for 87 are all the numbers between -87 and 87 , which divide 87 without leaving any remainder. Since 87 divided by -87 is an integer, -87 is a factor of 87 .
Since 87 divided by -87 is a whole number, -87 is a factor of 87
Since 87 divided by -29 is a whole number, -29 is a factor of 87
Since 87 divided by -3 is a whole number, -3 is a factor of 87
Since 87 divided by -1 is a whole number, -1 is a factor of 87
Since 87 divided by 1 is a whole number, 1 is a factor of 87
Since 87 divided by 3 is a whole number, 3 is a factor of 87
Since 87 divided by 29 is a whole number, 29 is a factor of 87
Multiples of 87 are all integers divisible by 87 , i.e. the remainder of the full division by 87 is zero. There are infinite multiples of 87. The smallest multiples of 87 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 87 since 0 × 87 = 0
87 : in fact, 87 is a multiple of itself, since 87 is divisible by 87 (it was 87 / 87 = 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 87, the answer is: No, 87 is not a prime number.
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 87). 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 9.327 ). 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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