35is an odd number,as it is not divisible by 2
The factors for 35 are all the numbers between -35 and 35 , which divide 35 without leaving any remainder. Since 35 divided by -35 is an integer, -35 is a factor of 35 .
Since 35 divided by -35 is a whole number, -35 is a factor of 35
Since 35 divided by -7 is a whole number, -7 is a factor of 35
Since 35 divided by -5 is a whole number, -5 is a factor of 35
Since 35 divided by -1 is a whole number, -1 is a factor of 35
Since 35 divided by 1 is a whole number, 1 is a factor of 35
Since 35 divided by 5 is a whole number, 5 is a factor of 35
Since 35 divided by 7 is a whole number, 7 is a factor of 35
Multiples of 35 are all integers divisible by 35 , i.e. the remainder of the full division by 35 is zero. There are infinite multiples of 35. The smallest multiples of 35 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 35 since 0 × 35 = 0
35 : in fact, 35 is a multiple of itself, since 35 is divisible by 35 (it was 35 / 35 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 35, the answer is: No, 35 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 35). 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 5.916 ). 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.
Previous prime number: 31
Next prime number: 37