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Let N = dndn-l d2d1d0, where each a, is digit from 0-9. You may assume N is a po

ID: 2979496 • Letter: L

Question

Let N = dndn-l d2d1d0, where each a, is digit from 0-9. You may assume N is a positive integer. For example, if N=136, d2 = 1, d1 = 3, d0 = 6. Show 3 divides N iff 3 divides the sum of the digits (3 drvides dn + dn - 1 + ... + d2+d1 + d0.) Show 5 divides N iff the last digit is 0 or 5 (5 divides d0.) Show 9 divides N iff 9 divides the sum of the digits (9 divides dn + dn_1 + ... + d2+d1 + d0.) Show 11 divides N iff 11 divides the alternating sum of the digits (11 divides (-1)n dn + (-1)n-1 dn-1 + ... + d2 - d1 + dn)

Explanation / Answer

https://docs.google.com/viewer?a=v&q;=cache:p0EkXPIdST4J:www.ms.uky.edu/~lee/as100fa02/divide.pdf+&hl;=en≷=in&pid;=bl&srcid;=ADGEEShcFFKQ-02hlSBmHa0LgHCikyWz5s5VJB9xSkF8kGVW3KBTVzmH75mC5eonlU9yMBNASLmfXwxZFYE7fQLh912f4h6ttQfKBOLbzwBV4sL2P_wuak-Ajg1giJcbiyn7wHdOKT6K&sig;=AHIEtbQA2G2hPsqY3NZJLzGtRcyDHQ9Kxg

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