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What is Divisibility Rules and Proofs about?
The number 1+3+32+...+32000 is divisible by 41. This is because: 1) The remainders of 1, 3, 32, etc when divided by 41 follow a repeating pattern of 1, 3, 9, 27, -1, -3, -9, -27. 2) When the sums of the terms following this pattern are taken in groups of 8, the total remainder is 0. 3) Therefore, the total sum 1+3+32+...+32000 is divisible by 41.
- Author
- gocebuseski
- Language
- EN