#1125 · Number Theory · Divisibility

Divisibility by eight via last three digits

Prove that in the ordinary decimal system a number is divisible by $8$ if and only if the number formed by its last three digits is divisible by $8$ .

~4 minProof · checked by AImodular arithmeticpowers of ten

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.b, No. 33

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