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749is an odd number,as it is not divisible by 2
The factors for 749 are all the numbers between -749 and 749 , which divide 749 without leaving any remainder. Since 749 divided by -749 is an integer, -749 is a factor of 749 .
Since 749 divided by -749 is a whole number, -749 is a factor of 749
Since 749 divided by -107 is a whole number, -107 is a factor of 749
Since 749 divided by -7 is a whole number, -7 is a factor of 749
Since 749 divided by -1 is a whole number, -1 is a factor of 749
Since 749 divided by 1 is a whole number, 1 is a factor of 749
Since 749 divided by 7 is a whole number, 7 is a factor of 749
Since 749 divided by 107 is a whole number, 107 is a factor of 749
Multiples of 749 are all integers divisible by 749 , i.e. the remainder of the full division by 749 is zero. There are infinite multiples of 749. The smallest multiples of 749 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 749 since 0 × 749 = 0
749 : in fact, 749 is a multiple of itself, since 749 is divisible by 749 (it was 749 / 749 = 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 749, the answer is: No, 749 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 749). 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 27.368 ). 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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