42667is an odd number,as it is not divisible by 2
The factors for 42667 are all the numbers between -42667 and 42667 , which divide 42667 without leaving any remainder. Since 42667 divided by -42667 is an integer, -42667 is a factor of 42667 .
Since 42667 divided by -42667 is a whole number, -42667 is a factor of 42667
Since 42667 divided by -1 is a whole number, -1 is a factor of 42667
Since 42667 divided by 1 is a whole number, 1 is a factor of 42667
Multiples of 42667 are all integers divisible by 42667 , i.e. the remainder of the full division by 42667 is zero. There are infinite multiples of 42667. The smallest multiples of 42667 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42667 since 0 × 42667 = 0
42667 : in fact, 42667 is a multiple of itself, since 42667 is divisible by 42667 (it was 42667 / 42667 = 1, so the rest of this division is zero)
85334: in fact, 85334 = 42667 × 2
128001: in fact, 128001 = 42667 × 3
170668: in fact, 170668 = 42667 × 4
213335: in fact, 213335 = 42667 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42667, the answer is: yes, 42667 is a prime number because it only has two different divisors: 1 and itself (42667).
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 42667). 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 206.56 ). 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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