3. In this problem we use the notation for the digits a; of an integer m given by m = (akak-1...ao) 10 = ak10k +ak-110k-1 +... + a₁10 + ao where 0 ≤ aj ≤ 9. Let p = 7 or 11 or 13. (i) Show that p|m p|(a₂a1a0) 10 — (a5a4a3)10 + (а8ª7ª6) For example, to check if 13 | 75787192, it is enough to check if 13 divides the number 192787+75.

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