The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
742 is multiplo of 1
742 is multiplo of 2
742 is multiplo of 7
742 is multiplo of 14
742 is multiplo of 53
742 is multiplo of 106
742 is multiplo of 371
742 has 7 positive divisors
In addition we can say of the number 742 that it is even
742 is an even number, as it is divisible by 2 : 742/2 = 371
The factors for 742 are all the numbers between -742 and 742 , which divide 742 without leaving any remainder. Since 742 divided by -742 is an integer, -742 is a factor of 742 .
Since 742 divided by -742 is a whole number, -742 is a factor of 742
Since 742 divided by -371 is a whole number, -371 is a factor of 742
Since 742 divided by -106 is a whole number, -106 is a factor of 742
Since 742 divided by -53 is a whole number, -53 is a factor of 742
Since 742 divided by -14 is a whole number, -14 is a factor of 742
Since 742 divided by -7 is a whole number, -7 is a factor of 742
Since 742 divided by -2 is a whole number, -2 is a factor of 742
Since 742 divided by -1 is a whole number, -1 is a factor of 742
Multiples of 742 are all integers divisible by 742 , i.e. the remainder of the full division by 742 is zero. There are infinite multiples of 742. The smallest multiples of 742 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 742, the answer is: No, 742 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 742). 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 27.24 ). 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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Next prime number: 743