42349is an odd number,as it is not divisible by 2
The factors for 42349 are all the numbers between -42349 and 42349 , which divide 42349 without leaving any remainder. Since 42349 divided by -42349 is an integer, -42349 is a factor of 42349 .
Since 42349 divided by -42349 is a whole number, -42349 is a factor of 42349
Since 42349 divided by -1 is a whole number, -1 is a factor of 42349
Since 42349 divided by 1 is a whole number, 1 is a factor of 42349
Multiples of 42349 are all integers divisible by 42349 , i.e. the remainder of the full division by 42349 is zero. There are infinite multiples of 42349. The smallest multiples of 42349 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42349 since 0 × 42349 = 0
42349 : in fact, 42349 is a multiple of itself, since 42349 is divisible by 42349 (it was 42349 / 42349 = 1, so the rest of this division is zero)
84698: in fact, 84698 = 42349 × 2
127047: in fact, 127047 = 42349 × 3
169396: in fact, 169396 = 42349 × 4
211745: in fact, 211745 = 42349 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42349, the answer is: yes, 42349 is a prime number because it only has two different divisors: 1 and itself (42349).
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 42349). 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 205.789 ). 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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