3240 এর উৎপাদকগুলির যোগফল নির্ণয় করুন।

  1. 10890
  2. 11000
  3. 10800
  4. 10190

Answer (Detailed Solution Below)

Option 1 : 10890
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Detailed Solution

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প্রদত্ত:

3240

ধারণা:

যদি k = ax × bহয়, তাহলে

a, এবং b অবশ্যই মৌলিক সংখ্যা। 

সমস্ত উৎপাদকগুলির যোগফল = (a0 + a1 + a2 + ….. + ax) (b0 + b1 + b2 + ….. + by)

সমাধান:

3240 = 23 × 34 × 51

উৎপাদকগুলির যোগফল = (20 + 21 + 22 + 23) (30 + 31 + 32 + 33 + 34) (50 + 51)

⇒ (1 + 2 + 4 + 8) (1 + 3 + 9 + 27 + 81) (1 + 5)

⇒ 15 × 121 × 6

⇒ 10890

∴নির্ণেয় যোগফল হল 10890

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