31001is an odd number,as it is not divisible by 2
The factors for 31001 are all the numbers between -31001 and 31001 , which divide 31001 without leaving any remainder. Since 31001 divided by -31001 is an integer, -31001 is a factor of 31001 .
Since 31001 divided by -31001 is a whole number, -31001 is a factor of 31001
Since 31001 divided by -1069 is a whole number, -1069 is a factor of 31001
Since 31001 divided by -29 is a whole number, -29 is a factor of 31001
Since 31001 divided by -1 is a whole number, -1 is a factor of 31001
Since 31001 divided by 1 is a whole number, 1 is a factor of 31001
Since 31001 divided by 29 is a whole number, 29 is a factor of 31001
Since 31001 divided by 1069 is a whole number, 1069 is a factor of 31001
Multiples of 31001 are all integers divisible by 31001 , i.e. the remainder of the full division by 31001 is zero. There are infinite multiples of 31001. The smallest multiples of 31001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 31001 since 0 × 31001 = 0
31001 : in fact, 31001 is a multiple of itself, since 31001 is divisible by 31001 (it was 31001 / 31001 = 1, so the rest of this division is zero)
62002: in fact, 62002 = 31001 × 2
93003: in fact, 93003 = 31001 × 3
124004: in fact, 124004 = 31001 × 4
155005: in fact, 155005 = 31001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 31001, the answer is: No, 31001 is not a prime number.
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 31001). 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 176.071 ). 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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