77is an odd number,as it is not divisible by 2
The factors for 77 are all the numbers between -77 and 77 , which divide 77 without leaving any remainder. Since 77 divided by -77 is an integer, -77 is a factor of 77 .
Since 77 divided by -77 is a whole number, -77 is a factor of 77
Since 77 divided by -11 is a whole number, -11 is a factor of 77
Since 77 divided by -7 is a whole number, -7 is a factor of 77
Since 77 divided by -1 is a whole number, -1 is a factor of 77
Since 77 divided by 1 is a whole number, 1 is a factor of 77
Since 77 divided by 7 is a whole number, 7 is a factor of 77
Since 77 divided by 11 is a whole number, 11 is a factor of 77
Multiples of 77 are all integers divisible by 77 , i.e. the remainder of the full division by 77 is zero. There are infinite multiples of 77. The smallest multiples of 77 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 77 since 0 × 77 = 0
77 : in fact, 77 is a multiple of itself, since 77 is divisible by 77 (it was 77 / 77 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 77, the answer is: No, 77 is not a prime number.
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 77). 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 8.775 ). 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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