Question

In how many ways can a number 6084 be written as a product of two different factors ?​

Answer 1

Answer:

6084 can be written

6 thousand 84

or, 60, 84

Answer 2

Answer:

14 ways

Step-by-step explanation:

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No of ways we can express any number in product of its 2 factors are equal to:-

(On my logic)

(i) If its a perfect square:- (n+1)/2 [where n is number of factors including 1]

(ii)If it's non perfect square:- n/2 [ where n is number of its factors including 1]

(iii) If it's a prime number :- only one way

So, as 6084 is a perfect square,

6084 =1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084

So, n = 27

no of ways = (27+1)/2 = 28/2 =14 ways