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How many ordered pairs, (x,y), of positive integers satisfy the equation xy=144?

 Dec 31, 2018
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xy = 144

 

We can look at the factors of 144

 

These are 

 

1 | 2 | 3 | 4 | 6 | 8 | 9 | 12 | 16 | 18 | 24 | 36 | 48 | 72 | 144

 

So 

 

The  ordered paIrs  are

 

(1, 144)

(2, 72)

(3, 48)

(4, 36)

(6, 24)

(8, 18)

(9, 16)

(12, 12)

 

So.....reversing the first 7 pairs.....we have 7 + 7 + 1 =  15 possible pairs of (x, y)

 

 

cool cool cool

 Dec 31, 2018

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