(115) the product of integers x, y, and z is even. is z even?

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05-11-2017
Mathematics

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(115) the product of integers x, y, and z is even. is z even?

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fluxlave fluxlave · Answer 1 · 2017-11-06T15:16:36+01:00

fluxlave fluxlave

06-11-2017

1. X/Y = Z

if x = 6, y = 2, then z = 3, not even

if x = 6, y = 3, then z = 2, even

2. Z=XY

so (z)^2 = 2*k (because x*y*z = 2k, where k is an integer)

Sufficient, as if square of an integer is even ,then the integer is even

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