# Thread: Pythagorean triple

1. ## Pythagorean triple

Prove that in a primitive Pythagorean triple x, y, z, the product xy is divisible by 12, hence 60|xyz.

2. Originally Posted by cathwelch
Prove that in a primitive Pythagorean triple x, y, z, the product xy is divisible by 12, hence 60|xyz.
Try to use the following results:
Any pythogorean triple is of the form $x = m^2 - n^2, y = 2mn$ and $z = m^2 + n^2$ where m and n are of different parity.

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### prove that in a Pythagorean triple x,y,z, the product xy is divisible by 12 ,hence 60/xyz

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