The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is :
Q. The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is :
Answer: 2
Notes: HCF = 12 Numbers = 12x and 12y where x and y are prime to each other $latex \therefore 12x \times 12y = 2160$ $latex => xy = \frac{2160}{12\times 12} = 15&s=1$ $latex \because 15 = 3\times 5,\ 1\times 15$ Possible pairs = (36, 60) and (12, 80) Hence option [B] is correct answer.