১০০ এর সকল গুণনীয়কের যোগফল কত?

A 115

B 216

C 217

D 223

Solution

Correct Answer: Option C

The sum of all the factors of am × bis (a0 + a1 +......+ am) × (b0 + b1 +............+ bn)

Calculation:

Factors of 100 = 22 × 52

Sum of factors = (20 + 21 + 22) × (50 + 51 + 52)

⇒ (1 + 2 + 4) × (1 + 5 + 25)

⇒ 7 × 31

⇒ 217

∴ The sum of all factors of 100 is 217.

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