Just the reverse of it

Algebra Level 4

111 38 { 111 }^{ 38 } divides n!. Find the minimum positive value of n.

4218 1406 1444 1369 0

Archit Boobna by Archit Boobna , 20, India

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1 solution

Ahmed Arup Shihab
Feb 10, 2015

⌊ 1369 13 ⌋ + ⌊ 1369 1 3 2 ⌋ = 38 \left\lfloor \frac{1369}{13}\right\rfloor +\left\lfloor \frac{1369}{13^2}\right\rfloor = 38

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Can you please detail your solution?

can someone provide a detailed solution @Chew-Seong Cheong @brian charlesworth @Calvin Lin @Azhaghu Roopesh M @Archit Boobna @Rajdeep Dhingra

Mehul Arora - 6 years, 4 months ago

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Just check the solutions one by one starting from the lowest.

Use the factorial power test for this.

Check these problems and you will understand.For doubts comment here .

Problem 1 Problem 2

Rajdeep Dhingra - 6 years, 3 months ago

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I got the method for factorial power test... Thanks so much @Rajdeep Dhingra .

But in the problems given above, I dont understand the meaning of "Product of powers of 13 in 169!" Pls help.

Mehul Arora - 6 years, 3 months ago

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@Mehul Arora – Check that problem in 20 mins. Writing its solution.

Rajdeep Dhingra - 6 years, 3 months ago

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@Rajdeep Dhingra – K.... Done.

Mehul Arora - 6 years, 3 months ago

@Mehul Arora – I have written the solution. here

Rajdeep Dhingra - 6 years, 3 months ago

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