Question

How many ordered pairs of (m,n) integers satisfy m/12=12/m
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Answer 1

15 Ordered Pair of m , satisfy m/12=12/n

Step-by-step explanation:

Correct Question is :

How many ordered pairs of (m,n) integers satisfy m/12=12/n

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m/12=12/n

=> mn = 144

144 = 1 * 144

144 = 2 * 72

144 = 3 * 48

144 = 4 * 36

144 = 6 * 24

144 = 8 * 18

144 = 9 * 16

144 = 12 * 12

ordered Pair of m, n

( 1  , 144)  , ( 2 , 72) , ( 3 , 48)  , (4 , 36)  , (6 , 24) , (8 , 18) , (9 , 16) , ( 12 , 12)

(16 , 9) , (18 , 8) , (24 , 6) , (36 , 4)  , (48 , 3) , (72 , 2) , (144 , 1)

15 Ordered Pair of m , satisfy m/12=12/n