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Question

What are the remainders when a perfect cube is divided by 7?

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Solution

13 ÷ 7 = 1

23 ÷ 7 = 1

33 ÷ 7 = 6

43 ÷ 7 = 1

53 ÷ 7 = 6

63 ÷ 7 = 6

73 ÷ 7 = 0

83 ÷ 7 = 1

93 ÷ 7 = 1

It can be observed that when a perfect cube is divided by 7, the remainders are 0, 1 or 6.


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