For less than the price of an exercise booklet, keep this website updated
30013is an odd number,as it is not divisible by 2
The factors for 30013 are all the numbers between -30013 and 30013 , which divide 30013 without leaving any remainder. Since 30013 divided by -30013 is an integer, -30013 is a factor of 30013 .
Since 30013 divided by -30013 is a whole number, -30013 is a factor of 30013
Since 30013 divided by -1 is a whole number, -1 is a factor of 30013
Since 30013 divided by 1 is a whole number, 1 is a factor of 30013
Multiples of 30013 are all integers divisible by 30013 , i.e. the remainder of the full division by 30013 is zero. There are infinite multiples of 30013. The smallest multiples of 30013 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 30013 since 0 × 30013 = 0
30013 : in fact, 30013 is a multiple of itself, since 30013 is divisible by 30013 (it was 30013 / 30013 = 1, so the rest of this division is zero)
60026: in fact, 60026 = 30013 × 2
90039: in fact, 90039 = 30013 × 3
120052: in fact, 120052 = 30013 × 4
150065: in fact, 150065 = 30013 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 30013, the answer is: yes, 30013 is a prime number because it only has two different divisors: 1 and itself (30013).
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 30013). 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 173.243 ). 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.
Previous Numbers: ... 30011, 30012
Next Numbers: 30014, 30015 ...
Previous prime number: 30011
Next prime number: 30029