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745is an odd number,as it is not divisible by 2
The factors for 745 are all the numbers between -745 and 745 , which divide 745 without leaving any remainder. Since 745 divided by -745 is an integer, -745 is a factor of 745 .
Since 745 divided by -745 is a whole number, -745 is a factor of 745
Since 745 divided by -149 is a whole number, -149 is a factor of 745
Since 745 divided by -5 is a whole number, -5 is a factor of 745
Since 745 divided by -1 is a whole number, -1 is a factor of 745
Since 745 divided by 1 is a whole number, 1 is a factor of 745
Since 745 divided by 5 is a whole number, 5 is a factor of 745
Since 745 divided by 149 is a whole number, 149 is a factor of 745
Multiples of 745 are all integers divisible by 745 , i.e. the remainder of the full division by 745 is zero. There are infinite multiples of 745. The smallest multiples of 745 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 745 since 0 × 745 = 0
745 : in fact, 745 is a multiple of itself, since 745 is divisible by 745 (it was 745 / 745 = 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 745, the answer is: No, 745 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 745). 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 27.295 ). 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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