160009is an odd number,as it is not divisible by 2
The factors for 160009 are all the numbers between -160009 and 160009 , which divide 160009 without leaving any remainder. Since 160009 divided by -160009 is an integer, -160009 is a factor of 160009 .
Since 160009 divided by -160009 is a whole number, -160009 is a factor of 160009
Since 160009 divided by -1 is a whole number, -1 is a factor of 160009
Since 160009 divided by 1 is a whole number, 1 is a factor of 160009
Multiples of 160009 are all integers divisible by 160009 , i.e. the remainder of the full division by 160009 is zero. There are infinite multiples of 160009. The smallest multiples of 160009 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 160009 since 0 × 160009 = 0
160009 : in fact, 160009 is a multiple of itself, since 160009 is divisible by 160009 (it was 160009 / 160009 = 1, so the rest of this division is zero)
320018: in fact, 320018 = 160009 × 2
480027: in fact, 480027 = 160009 × 3
640036: in fact, 640036 = 160009 × 4
800045: in fact, 800045 = 160009 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 160009, the answer is: yes, 160009 is a prime number because it only has two different divisors: 1 and itself (160009).
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 160009). 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 400.011 ). 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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