Which of the following numbers is divisible by 12?
4512984
The correct answer is 4512984.
Additional Information: Composite Number Divisibility The rule for checking divisibility by a composite number (a number with more than two factors) like 12 can often be broken down into checking divisibility by its factors, provided those factors are coprime (have no common factor other than 1). Since 3 and 4 are coprime factors of 12, we can use their individual divisibility rules. For example, to check divisibility by 6, we check divisibility by its coprime factors 2 and 3.
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Let d(n) denote the number of positive divisors of a positive integer n. Which of the following are correct?
1. d(5) = d(11)
2. d(5).d(11) = d(55)
3. d(5) + d(11) = d(16)
Select the correct answer using the code given below: