787is an odd number,as it is not divisible by 2
The factors for 787 are all the numbers between -787 and 787 , which divide 787 without leaving any remainder. Since 787 divided by -787 is an integer, -787 is a factor of 787 .
Since 787 divided by -787 is a whole number, -787 is a factor of 787
Since 787 divided by -1 is a whole number, -1 is a factor of 787
Since 787 divided by 1 is a whole number, 1 is a factor of 787
Multiples of 787 are all integers divisible by 787 , i.e. the remainder of the full division by 787 is zero. There are infinite multiples of 787. The smallest multiples of 787 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 787 since 0 × 787 = 0
787 : in fact, 787 is a multiple of itself, since 787 is divisible by 787 (it was 787 / 787 = 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 787, the answer is: yes, 787 is a prime number because it only has two different divisors: 1 and itself (787).
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 787). 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 28.054 ). 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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