42901is an odd number,as it is not divisible by 2
The factors for 42901 are all the numbers between -42901 and 42901 , which divide 42901 without leaving any remainder. Since 42901 divided by -42901 is an integer, -42901 is a factor of 42901 .
Since 42901 divided by -42901 is a whole number, -42901 is a factor of 42901
Since 42901 divided by -1 is a whole number, -1 is a factor of 42901
Since 42901 divided by 1 is a whole number, 1 is a factor of 42901
Multiples of 42901 are all integers divisible by 42901 , i.e. the remainder of the full division by 42901 is zero. There are infinite multiples of 42901. The smallest multiples of 42901 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42901 since 0 × 42901 = 0
42901 : in fact, 42901 is a multiple of itself, since 42901 is divisible by 42901 (it was 42901 / 42901 = 1, so the rest of this division is zero)
85802: in fact, 85802 = 42901 × 2
128703: in fact, 128703 = 42901 × 3
171604: in fact, 171604 = 42901 × 4
214505: in fact, 214505 = 42901 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42901, the answer is: yes, 42901 is a prime number because it only has two different divisors: 1 and itself (42901).
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 42901). 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 207.126 ). 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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