42557is an odd number,as it is not divisible by 2
The factors for 42557 are all the numbers between -42557 and 42557 , which divide 42557 without leaving any remainder. Since 42557 divided by -42557 is an integer, -42557 is a factor of 42557 .
Since 42557 divided by -42557 is a whole number, -42557 is a factor of 42557
Since 42557 divided by -1 is a whole number, -1 is a factor of 42557
Since 42557 divided by 1 is a whole number, 1 is a factor of 42557
Multiples of 42557 are all integers divisible by 42557 , i.e. the remainder of the full division by 42557 is zero. There are infinite multiples of 42557. The smallest multiples of 42557 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42557 since 0 × 42557 = 0
42557 : in fact, 42557 is a multiple of itself, since 42557 is divisible by 42557 (it was 42557 / 42557 = 1, so the rest of this division is zero)
85114: in fact, 85114 = 42557 × 2
127671: in fact, 127671 = 42557 × 3
170228: in fact, 170228 = 42557 × 4
212785: in fact, 212785 = 42557 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42557, the answer is: yes, 42557 is a prime number because it only has two different divisors: 1 and itself (42557).
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 42557). 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 206.293 ). 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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