501is an odd number,as it is not divisible by 2
The factors for 501 are all the numbers between -501 and 501 , which divide 501 without leaving any remainder. Since 501 divided by -501 is an integer, -501 is a factor of 501 .
Since 501 divided by -501 is a whole number, -501 is a factor of 501
Since 501 divided by -167 is a whole number, -167 is a factor of 501
Since 501 divided by -3 is a whole number, -3 is a factor of 501
Since 501 divided by -1 is a whole number, -1 is a factor of 501
Since 501 divided by 1 is a whole number, 1 is a factor of 501
Since 501 divided by 3 is a whole number, 3 is a factor of 501
Since 501 divided by 167 is a whole number, 167 is a factor of 501
Multiples of 501 are all integers divisible by 501 , i.e. the remainder of the full division by 501 is zero. There are infinite multiples of 501. The smallest multiples of 501 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 501 since 0 × 501 = 0
501 : in fact, 501 is a multiple of itself, since 501 is divisible by 501 (it was 501 / 501 = 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 501, the answer is: No, 501 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 501). 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 22.383 ). 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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