Divisibility property in mathematics

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Reference no: EM13117492

One of the often misunderstood concept in math is divisibility. Divisibility is different from the operation division.

The Solution describes 7 key properties of divisibility and proves them mathematically as why they are true.

The 7 divisibility properties follow:

(a) a|0, a|a

(b) a|1 if and only if a=±1

(d) if a|b and b|c, then a|c (for b?0)

(e) (a|b and b|a) if and only if a=±b

(f) if a|b and b?0, then |a|?|b|

(g) if a|b and a|c, then a|(bx+cy) for any integers x,y.

Reference no: EM13117492

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