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721is an odd number,as it is not divisible by 2
The factors for 721 are all the numbers between -721 and 721 , which divide 721 without leaving any remainder. Since 721 divided by -721 is an integer, -721 is a factor of 721 .
Since 721 divided by -721 is a whole number, -721 is a factor of 721
Since 721 divided by -103 is a whole number, -103 is a factor of 721
Since 721 divided by -7 is a whole number, -7 is a factor of 721
Since 721 divided by -1 is a whole number, -1 is a factor of 721
Since 721 divided by 1 is a whole number, 1 is a factor of 721
Since 721 divided by 7 is a whole number, 7 is a factor of 721
Since 721 divided by 103 is a whole number, 103 is a factor of 721
Multiples of 721 are all integers divisible by 721 , i.e. the remainder of the full division by 721 is zero. There are infinite multiples of 721. The smallest multiples of 721 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 721 since 0 × 721 = 0
721 : in fact, 721 is a multiple of itself, since 721 is divisible by 721 (it was 721 / 721 = 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 721, the answer is: No, 721 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 721). 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 26.851 ). 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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