how many ordered pairs of (m,n)integers satisfy m/12=12/n? ans:30.....PLS EXPLAIN THIS....

hi shriraman

 

m n = 144 = 2⁴ * 3 ²

 

the number of positive divisors are ( 4 + 1 ) * ( 2 + 1) = 15

 

let n be the divisor then you will get the when u will divide 144 by n u will get an integer m

so u will get an ordered pair ( m , n ) will get 15 of them

similarly take m as divisor u will get another 15 ordered pair

total number of orderd pairs of 30

Can you please answer this question..The nu ver of ordered pairs (m,n) where m,n€{1,2,...........,50} such that 6^n + 9^m is a multiple of 5