mba05 Posted December 29, 2004 Share Posted December 29, 2004 The value of â is the product of all positive, odd integers less then a but greater than 0. If e = 16 and o = 14 what is the largest prime factor of ê + 2ô? (A) 23 (B) 19 © 17 (D) 13 (E) 11 Quote Link to comment Share on other sites More sharing options...
GmatGnat Posted December 29, 2004 Share Posted December 29, 2004 Answer is © So â is the product of all odd integers such that 0 e = 16 ê = 1 * 3 * 5 * 7 * 9 * 11 * 13 * 15 o = 14 2ô = 2 * (1 * 3 * 5 * 7 * 9 * 11 * 13) ê + 2ô (3 * 5 * 7 * 9 * 11 * 13 * 15) + 2 * (3 * 5 * 7 * 9 * 11 * 13) 15 * (3 * 5 * 7 * 9 * 11 * 13) + 2 * (3 * 5 * 7 * 9 * 11 * 13) (3 * 5 * 7 * 9 * 11 * 13) * (15 + 2) 3 * 5 * 7 * 9 * 11 * 13 * 17 Largest prime factor is 17 Looks like a lot of multiplying, but thankfully we don't have to do any of it! Quote Link to comment Share on other sites More sharing options...
mba05 Posted December 29, 2004 Author Share Posted December 29, 2004 You got it mate ! Quote Link to comment Share on other sites More sharing options...
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