Question

Let d1,d2,....dk be all the factors of a positive integer n, in ascending order including 1 and n. suppose d1+d2+....dk=72.then the value of 1/d1+1/d2+.....+1/dk

Answer 1

Answer:

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Answer 2

Given:

Let d1,d2,....dk

$\begin{array}{l}n=d_{1} \times P \\\frac{n}{d_{1}}=p \rightarrow \text { inleger }\end{array}$

$\frac{1}{d_{1}}+\frac{1}{d_{2}}+\frac{1}{d_{3}} \cdots \cdots \frac{1}{d_{k}}$

multiply and divide both the side by n

$\frac{1}{n}\left[\frac{n}{d_{1}}+\frac{n}{d_{2}}+\frac{n}{d_{3}}\left+, \cdots \cdots \cdot \frac{n}{d k}\right]\right.$

$k \text { factors of } n$

$=\frac{72}{n}$

The answer is 72/n