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Question

What is the product of all positive divisors of 100?


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Solution

Simplify to get the product of all positive divisors of 100.

It is known that the positive divisors of 100 are 1,2,4,5,10,20,25,50,100

Multiply all the factors of 100:

1·2·4·5·10·20·25·50·100=1,000,000,000

Therefore, the product of all positive divisors of 100 is 1,000,000,000.


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