743is an odd number,as it is not divisible by 2
The factors for 743 are all the numbers between -743 and 743 , which divide 743 without leaving any remainder. Since 743 divided by -743 is an integer, -743 is a factor of 743 .
Since 743 divided by -743 is a whole number, -743 is a factor of 743
Since 743 divided by -1 is a whole number, -1 is a factor of 743
Multiples of 743 are all integers divisible by 743 , i.e. the remainder of the full division by 743 is zero. There are infinite multiples of 743. The smallest multiples of 743 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 743, the answer is: yes, 743 is a prime number because it only has two different divisors: 1 and itself (743).
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 743). 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 27.258 ). 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: 751