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40801is an odd number,as it is not divisible by 2
The factors for 40801 are all the numbers between -40801 and 40801 , which divide 40801 without leaving any remainder. Since 40801 divided by -40801 is an integer, -40801 is a factor of 40801 .
Since 40801 divided by -40801 is a whole number, -40801 is a factor of 40801
Since 40801 divided by -1 is a whole number, -1 is a factor of 40801
Since 40801 divided by 1 is a whole number, 1 is a factor of 40801
Multiples of 40801 are all integers divisible by 40801 , i.e. the remainder of the full division by 40801 is zero. There are infinite multiples of 40801. The smallest multiples of 40801 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 40801 since 0 × 40801 = 0
40801 : in fact, 40801 is a multiple of itself, since 40801 is divisible by 40801 (it was 40801 / 40801 = 1, so the rest of this division is zero)
81602: in fact, 81602 = 40801 × 2
122403: in fact, 122403 = 40801 × 3
163204: in fact, 163204 = 40801 × 4
204005: in fact, 204005 = 40801 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 40801, the answer is: yes, 40801 is a prime number because it only has two different divisors: 1 and itself (40801).
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 40801). 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 201.993 ). 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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