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Prove that 5^40-5^39 is divisible by 4

 Jun 10, 2021
 #1
avatar+35061 
+1

540  = 5 * 539

 

5 * 539  -  539 =

4 * 539                            which is obviously divisible by '4'         4* x    is divisiable by 4  (x is 539 in this case)

 Jun 10, 2021
 #2
avatar+795 
0

$5^{40} - 5^{39} = 5^{39}(5 - 1) = 5^{39}(4)$

 Jun 10, 2021

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