Question 116

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is

Name: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is
Uploaded: April 8, 2021, 3:45 p.m.
Duration: 1 min 25 s
Description: The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is

Solution

Factors of 2028 are 13,13,2,2,3
so there will be 2 cases only when highest common factor will remain 13 only
as $$13\times 3$$ and $$13\times 4$$
and $$13\times 1$$ and $$13\times 12$$