Question
What will be the remainder when 577Â +
87Â is divided by 13?Solution
In an + bn, n is an odd number then (a + b) is one of its factors. So, in case of 577 + 87, (57 + 8) i.e. 65 is a factor of the given term. 57 + 8 = 65 = 5 × 13 Since, 13 is a factor of 65, there when the given term is divided by 13, the remainder will be 0.
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