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35671is an odd number,as it is not divisible by 2
The factors for 35671 are all the numbers between -35671 and 35671 , which divide 35671 without leaving any remainder. Since 35671 divided by -35671 is an integer, -35671 is a factor of 35671 .
Since 35671 divided by -35671 is a whole number, -35671 is a factor of 35671
Since 35671 divided by -1 is a whole number, -1 is a factor of 35671
Since 35671 divided by 1 is a whole number, 1 is a factor of 35671
Multiples of 35671 are all integers divisible by 35671 , i.e. the remainder of the full division by 35671 is zero. There are infinite multiples of 35671. The smallest multiples of 35671 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 35671 since 0 × 35671 = 0
35671 : in fact, 35671 is a multiple of itself, since 35671 is divisible by 35671 (it was 35671 / 35671 = 1, so the rest of this division is zero)
71342: in fact, 71342 = 35671 × 2
107013: in fact, 107013 = 35671 × 3
142684: in fact, 142684 = 35671 × 4
178355: in fact, 178355 = 35671 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 35671, the answer is: yes, 35671 is a prime number because it only has two different divisors: 1 and itself (35671).
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 35671). 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 188.868 ). 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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