Product of Divisors

Find the product of the positive divisors of 22 (inclusive of 1 and itself).


The answer is 484.

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3 solutions

Sunil Pradhan
Aug 21, 2016

If number is represented as p^a × q^b × r^c × ...

Where p, q, r, ... are prime factors

Number of divisors d = (a + 1)(b + 1)(c + 1) ....

and product of divisors = No^d/2

In case of 22. = 2^1 × 11^1 so number of divisors d = (1 + 1)(1 + 1) = 4

Product of divisors = 22^4/2 = 22² = 484


Edwin Gray
Apr 15, 2019

The positive divisors are 1,2,11, and 22. Their product is 22^2 = 484

展豪 張
May 1, 2016

All positive divisors of 22 22 are 1 , 2 , 11 , 22 1,2,11,22 .
The product = 1 × 2 × 11 × 22 = 484 =1\times 2\times 11\times 22=484

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