501001is an odd number,as it is not divisible by 2
The factors for 501001 are all the numbers between -501001 and 501001 , which divide 501001 without leaving any remainder. Since 501001 divided by -501001 is an integer, -501001 is a factor of 501001 .
Since 501001 divided by -501001 is a whole number, -501001 is a factor of 501001
Since 501001 divided by -1 is a whole number, -1 is a factor of 501001
Since 501001 divided by 1 is a whole number, 1 is a factor of 501001
Multiples of 501001 are all integers divisible by 501001 , i.e. the remainder of the full division by 501001 is zero. There are infinite multiples of 501001. The smallest multiples of 501001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 501001 since 0 × 501001 = 0
501001 : in fact, 501001 is a multiple of itself, since 501001 is divisible by 501001 (it was 501001 / 501001 = 1, so the rest of this division is zero)
1002002: in fact, 1002002 = 501001 × 2
1503003: in fact, 1503003 = 501001 × 3
2004004: in fact, 2004004 = 501001 × 4
2505005: in fact, 2505005 = 501001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 501001, the answer is: yes, 501001 is a prime number because it only has two different divisors: 1 and itself (501001).
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 501001). 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 707.814 ). 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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