What's the least number which can be written as the product of two numbers in 11 ways ?
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these 11 ways can be written as 1 × a, 2 × b, 3× c,......,p×p(since we are asked to find the least possible number we write it as p×p instead of m×n) so now we have 21 factors for the number. least possible number with 21 factors is 576 ( 2^6 + 3^2)0Modal content
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3072-4Modal content
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576=1×576=2×288=3×192=4×144=6×96=8×72=9×64=12×48=16×36=18×32=24×246Modal content
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22-3Modal content
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22-3Modal content
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