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In addition we can say of the number 878 that it is even
878 is an even number, as it is divisible by 2 : 878/2 = 439
The factors for 878 are all the numbers between -878 and 878 , which divide 878 without leaving any remainder. Since 878 divided by -878 is an integer, -878 is a factor of 878 .
Since 878 divided by -878 is a whole number, -878 is a factor of 878
Since 878 divided by -439 is a whole number, -439 is a factor of 878
Since 878 divided by -2 is a whole number, -2 is a factor of 878
Since 878 divided by -1 is a whole number, -1 is a factor of 878
Since 878 divided by 1 is a whole number, 1 is a factor of 878
Since 878 divided by 2 is a whole number, 2 is a factor of 878
Since 878 divided by 439 is a whole number, 439 is a factor of 878
Multiples of 878 are all integers divisible by 878 , i.e. the remainder of the full division by 878 is zero. There are infinite multiples of 878. The smallest multiples of 878 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 878 since 0 × 878 = 0
878 : in fact, 878 is a multiple of itself, since 878 is divisible by 878 (it was 878 / 878 = 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 878, the answer is: No, 878 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 878). 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 29.631 ). 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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