Multiple choice general knowledge math & puzzles

Super commando dhruv is chasing Kal paheliya (Doga villain) on stree of mumbai. Kal paheliya asks him a simple question. Speed at which i am running is no. of even factors of (3^9)(4^7)(5^6). find the speed of kal paheliya.

  1. 900

  2. 1050

  3. 980

  4. can't be determined.

  5. too much calculation... Yawn!
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the number of even factors, first express the number in prime form: $2^{14} \times 3^9 \times 5^6$. The total number of factors is $(14+1)(9+1)(6+1) = 1050$. The number of odd factors is $(9+1)(6+1) = 70$. Subtracting odd from total gives $1050 - 70 = 980$ even factors.

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