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42909is an odd number,as it is not divisible by 2
The factors for 42909 are all the numbers between -42909 and 42909 , which divide 42909 without leaving any remainder. Since 42909 divided by -42909 is an integer, -42909 is a factor of 42909 .
Since 42909 divided by -42909 is a whole number, -42909 is a factor of 42909
Since 42909 divided by -14303 is a whole number, -14303 is a factor of 42909
Since 42909 divided by -3 is a whole number, -3 is a factor of 42909
Since 42909 divided by -1 is a whole number, -1 is a factor of 42909
Since 42909 divided by 1 is a whole number, 1 is a factor of 42909
Since 42909 divided by 3 is a whole number, 3 is a factor of 42909
Since 42909 divided by 14303 is a whole number, 14303 is a factor of 42909
Multiples of 42909 are all integers divisible by 42909 , i.e. the remainder of the full division by 42909 is zero. There are infinite multiples of 42909. The smallest multiples of 42909 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42909 since 0 × 42909 = 0
42909 : in fact, 42909 is a multiple of itself, since 42909 is divisible by 42909 (it was 42909 / 42909 = 1, so the rest of this division is zero)
85818: in fact, 85818 = 42909 × 2
128727: in fact, 128727 = 42909 × 3
171636: in fact, 171636 = 42909 × 4
214545: in fact, 214545 = 42909 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42909, the answer is: No, 42909 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 42909). 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 207.145 ). 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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