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In addition we can say of the number 698 that it is even
698 is an even number, as it is divisible by 2 : 698/2 = 349
The factors for 698 are all the numbers between -698 and 698 , which divide 698 without leaving any remainder. Since 698 divided by -698 is an integer, -698 is a factor of 698 .
Since 698 divided by -698 is a whole number, -698 is a factor of 698
Since 698 divided by -349 is a whole number, -349 is a factor of 698
Since 698 divided by -2 is a whole number, -2 is a factor of 698
Since 698 divided by -1 is a whole number, -1 is a factor of 698
Since 698 divided by 1 is a whole number, 1 is a factor of 698
Since 698 divided by 2 is a whole number, 2 is a factor of 698
Since 698 divided by 349 is a whole number, 349 is a factor of 698
Multiples of 698 are all integers divisible by 698 , i.e. the remainder of the full division by 698 is zero. There are infinite multiples of 698. The smallest multiples of 698 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 698 since 0 × 698 = 0
698 : in fact, 698 is a multiple of itself, since 698 is divisible by 698 (it was 698 / 698 = 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 698, the answer is: No, 698 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 698). 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 26.42 ). 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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