42169is an odd number,as it is not divisible by 2
The factors for 42169 are all the numbers between -42169 and 42169 , which divide 42169 without leaving any remainder. Since 42169 divided by -42169 is an integer, -42169 is a factor of 42169 .
Since 42169 divided by -42169 is a whole number, -42169 is a factor of 42169
Since 42169 divided by -1 is a whole number, -1 is a factor of 42169
Since 42169 divided by 1 is a whole number, 1 is a factor of 42169
Multiples of 42169 are all integers divisible by 42169 , i.e. the remainder of the full division by 42169 is zero. There are infinite multiples of 42169. The smallest multiples of 42169 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42169 since 0 × 42169 = 0
42169 : in fact, 42169 is a multiple of itself, since 42169 is divisible by 42169 (it was 42169 / 42169 = 1, so the rest of this division is zero)
84338: in fact, 84338 = 42169 × 2
126507: in fact, 126507 = 42169 × 3
168676: in fact, 168676 = 42169 × 4
210845: in fact, 210845 = 42169 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42169, the answer is: yes, 42169 is a prime number because it only has two different divisors: 1 and itself (42169).
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 42169). 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 205.351 ). 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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