490001is an odd number,as it is not divisible by 2
The factors for 490001 are all the numbers between -490001 and 490001 , which divide 490001 without leaving any remainder. Since 490001 divided by -490001 is an integer, -490001 is a factor of 490001 .
Since 490001 divided by -490001 is a whole number, -490001 is a factor of 490001
Since 490001 divided by -1 is a whole number, -1 is a factor of 490001
Since 490001 divided by 1 is a whole number, 1 is a factor of 490001
Multiples of 490001 are all integers divisible by 490001 , i.e. the remainder of the full division by 490001 is zero. There are infinite multiples of 490001. The smallest multiples of 490001 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 490001 since 0 × 490001 = 0
490001 : in fact, 490001 is a multiple of itself, since 490001 is divisible by 490001 (it was 490001 / 490001 = 1, so the rest of this division is zero)
980002: in fact, 980002 = 490001 × 2
1470003: in fact, 1470003 = 490001 × 3
1960004: in fact, 1960004 = 490001 × 4
2450005: in fact, 2450005 = 490001 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 490001, the answer is: yes, 490001 is a prime number because it only has two different divisors: 1 and itself (490001).
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 490001). 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 700.001 ). 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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