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A three digit number X has 12 factors. How many factors will X3 have ?
Solution
A number with 12 factors will be of the form (a11) or (a2 × b3) or (a1 × b5) where a and b are prime numbers.The smallest number of the form a11 = 2048 which is a four digit number hence the number cannot be of the form (a11)The smallest...
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