67421is an odd number,as it is not divisible by 2
The factors for 67421 are all the numbers between -67421 and 67421 , which divide 67421 without leaving any remainder. Since 67421 divided by -67421 is an integer, -67421 is a factor of 67421 .
Since 67421 divided by -67421 is a whole number, -67421 is a factor of 67421
Since 67421 divided by -1 is a whole number, -1 is a factor of 67421
Since 67421 divided by 1 is a whole number, 1 is a factor of 67421
Multiples of 67421 are all integers divisible by 67421 , i.e. the remainder of the full division by 67421 is zero. There are infinite multiples of 67421. The smallest multiples of 67421 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 67421 since 0 × 67421 = 0
67421 : in fact, 67421 is a multiple of itself, since 67421 is divisible by 67421 (it was 67421 / 67421 = 1, so the rest of this division is zero)
134842: in fact, 134842 = 67421 × 2
202263: in fact, 202263 = 67421 × 3
269684: in fact, 269684 = 67421 × 4
337105: in fact, 337105 = 67421 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 67421, the answer is: yes, 67421 is a prime number because it only has two different divisors: 1 and itself (67421).
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 67421). 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 259.656 ). 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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