73is an odd number,as it is not divisible by 2
The factors for 73 are all the numbers between -73 and 73 , which divide 73 without leaving any remainder. Since 73 divided by -73 is an integer, -73 is a factor of 73 .
Since 73 divided by -73 is a whole number, -73 is a factor of 73
Since 73 divided by -1 is a whole number, -1 is a factor of 73
Since 73 divided by 1 is a whole number, 1 is a factor of 73
Multiples of 73 are all integers divisible by 73 , i.e. the remainder of the full division by 73 is zero. There are infinite multiples of 73. The smallest multiples of 73 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 73 since 0 × 73 = 0
73 : in fact, 73 is a multiple of itself, since 73 is divisible by 73 (it was 73 / 73 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 73, the answer is: yes, 73 is a prime number because it only has two different divisors: 1 and itself (73).
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 73). 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 8.544 ). 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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