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42533is an odd number,as it is not divisible by 2
The factors for 42533 are all the numbers between -42533 and 42533 , which divide 42533 without leaving any remainder. Since 42533 divided by -42533 is an integer, -42533 is a factor of 42533 .
Since 42533 divided by -42533 is a whole number, -42533 is a factor of 42533
Since 42533 divided by -1 is a whole number, -1 is a factor of 42533
Since 42533 divided by 1 is a whole number, 1 is a factor of 42533
Multiples of 42533 are all integers divisible by 42533 , i.e. the remainder of the full division by 42533 is zero. There are infinite multiples of 42533. The smallest multiples of 42533 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42533 since 0 × 42533 = 0
42533 : in fact, 42533 is a multiple of itself, since 42533 is divisible by 42533 (it was 42533 / 42533 = 1, so the rest of this division is zero)
85066: in fact, 85066 = 42533 × 2
127599: in fact, 127599 = 42533 × 3
170132: in fact, 170132 = 42533 × 4
212665: in fact, 212665 = 42533 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42533, the answer is: yes, 42533 is a prime number because it only has two different divisors: 1 and itself (42533).
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 42533). 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 206.235 ). 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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