42379is an odd number,as it is not divisible by 2
The factors for 42379 are all the numbers between -42379 and 42379 , which divide 42379 without leaving any remainder. Since 42379 divided by -42379 is an integer, -42379 is a factor of 42379 .
Since 42379 divided by -42379 is a whole number, -42379 is a factor of 42379
Since 42379 divided by -1 is a whole number, -1 is a factor of 42379
Since 42379 divided by 1 is a whole number, 1 is a factor of 42379
Multiples of 42379 are all integers divisible by 42379 , i.e. the remainder of the full division by 42379 is zero. There are infinite multiples of 42379. The smallest multiples of 42379 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42379 since 0 × 42379 = 0
42379 : in fact, 42379 is a multiple of itself, since 42379 is divisible by 42379 (it was 42379 / 42379 = 1, so the rest of this division is zero)
84758: in fact, 84758 = 42379 × 2
127137: in fact, 127137 = 42379 × 3
169516: in fact, 169516 = 42379 × 4
211895: in fact, 211895 = 42379 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42379, the answer is: yes, 42379 is a prime number because it only has two different divisors: 1 and itself (42379).
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 42379). 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 205.862 ). 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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