Question : What is the total number of factors of the number 840 except 1 and the number itself?
Option 1: 29
Option 2: 30
Option 3: 28
Option 4: 31
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Correct Answer: 30
Solution : Given number = 840 We can write it as, $2^3×3×5×7$ Now, Total factors $=(3+1)×(1+1)×(1+1)×(1+1)=4×2×2×2=32$ ⇒ Total number of factors apart from 1 and 840 itself = 32 – 2 = 30 Hence, the correct answer is 30.
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