Divisors of 42013
Parity of 42013
42013is an odd number,as it is not divisible by 2
The factors for 42013
The factors for 42013 are all the numbers between -42013 and 42013 , which divide 42013 without leaving any remainder. Since 42013 divided by -42013 is an integer, -42013 is a factor of 42013 .
Since 42013 divided by -42013 is a whole number, -42013 is a factor of 42013
Since 42013 divided by -1 is a whole number, -1 is a factor of 42013
Since 42013 divided by 1 is a whole number, 1 is a factor of 42013
What are the multiples of 42013?
Multiples of 42013 are all integers divisible by 42013 , i.e. the remainder of the full division by 42013 is zero. There are infinite multiples of 42013. The smallest multiples of 42013 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 42013 since 0 × 42013 = 0
42013 : in fact, 42013 is a multiple of itself, since 42013 is divisible by 42013 (it was 42013 / 42013 = 1, so the rest of this division is zero)
84026: in fact, 84026 = 42013 × 2
126039: in fact, 126039 = 42013 × 3
168052: in fact, 168052 = 42013 × 4
210065: in fact, 210065 = 42013 × 5
etc.
Is 42013 a prime number?
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 42013, the answer is: yes, 42013 is a prime number because it only has two different divisors: 1 and itself (42013).
How do you determine if a number is prime?
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 42013). 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 204.971 ). 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.
Numbers about 42013
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Prime numbers closer to 42013
Previous prime number: 41999
Next prime number: 42017