60013is an odd number,as it is not divisible by 2
The factors for 60013 are all the numbers between -60013 and 60013 , which divide 60013 without leaving any remainder. Since 60013 divided by -60013 is an integer, -60013 is a factor of 60013 .
Since 60013 divided by -60013 is a whole number, -60013 is a factor of 60013
Since 60013 divided by -1 is a whole number, -1 is a factor of 60013
Since 60013 divided by 1 is a whole number, 1 is a factor of 60013
Multiples of 60013 are all integers divisible by 60013 , i.e. the remainder of the full division by 60013 is zero. There are infinite multiples of 60013. The smallest multiples of 60013 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 60013 since 0 × 60013 = 0
60013 : in fact, 60013 is a multiple of itself, since 60013 is divisible by 60013 (it was 60013 / 60013 = 1, so the rest of this division is zero)
120026: in fact, 120026 = 60013 × 2
180039: in fact, 180039 = 60013 × 3
240052: in fact, 240052 = 60013 × 4
300065: in fact, 300065 = 60013 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 60013, the answer is: yes, 60013 is a prime number because it only has two different divisors: 1 and itself (60013).
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 60013). 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 244.976 ). 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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