[tex]2^{k - 1}[/tex] ways are these to written n as a product of two positive integer factors .
What is integers?
An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043
The objective of the question is list the distinct ways the number 210 can be written as a product of 2 positive integers factors.
If n = [tex]p_{1} p_{2} p_{3} ................p_{i}[/tex] where pi = distinct prime
The total numbers of factors is as fallow
( 1 + 1) ( 1 + 1) ( 1 + 1 )........................k times
2 × 2 × 2 .........................k times
= [tex]2^{H}[/tex]
The total numbers of ways in which the numbers can be written as product of 2 factors as fallows -
[tex]\frac{2^{k} }{2} } = 2^{k - 1}[/tex]
Therefore , [tex]2^{k - 1}[/tex] ways are these to written n as a product of two positive integer factors .
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