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Question

Write cardinal number of the following: {x: x is the factor of 3600 }

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Solution

Let S=x: x is a factor of 36003600=36×100=2×32×2×52=22×32×22×52=24 32 52ResultIf a number N=2a 3b 5c 7d... then number of factors=a+1b+1c+1...Number of factors of 3600=4+12+12+1=5×3×3=45nS=45

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