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120677is an odd number,as it is not divisible by 2
The factors for 120677 are all the numbers between -120677 and 120677 , which divide 120677 without leaving any remainder. Since 120677 divided by -120677 is an integer, -120677 is a factor of 120677 .
Since 120677 divided by -120677 is a whole number, -120677 is a factor of 120677
Since 120677 divided by -1 is a whole number, -1 is a factor of 120677
Since 120677 divided by 1 is a whole number, 1 is a factor of 120677
Multiples of 120677 are all integers divisible by 120677 , i.e. the remainder of the full division by 120677 is zero. There are infinite multiples of 120677. The smallest multiples of 120677 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 120677 since 0 × 120677 = 0
120677 : in fact, 120677 is a multiple of itself, since 120677 is divisible by 120677 (it was 120677 / 120677 = 1, so the rest of this division is zero)
241354: in fact, 241354 = 120677 × 2
362031: in fact, 362031 = 120677 × 3
482708: in fact, 482708 = 120677 × 4
603385: in fact, 603385 = 120677 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 120677, the answer is: yes, 120677 is a prime number because it only has two different divisors: 1 and itself (120677).
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 120677). 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 347.386 ). 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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