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The number and sum of divisors of the number 1800 which are proper and divisible by 6=

6 Answers

62
Lokesh Verma ·

number of divisors will be same as no of divisors of 1800/6 = 300 = 22.3.52

no of divisors will be 3.2.3 = 18

62
Lokesh Verma ·

sum of divisors will be

6* ( sum of divisors of 300)

= 6 × (1+2+4)(1+3)(1+5+25)

The proof of this part is not so simple.. but it is waste solving it without the proof!

62
Lokesh Verma ·

try finding the proof for both these parts!

basically it is
= 6 × (1+2+22)(1+3)(1+5+52)

24
eureka123 ·

sir the answer which i have in the book is
17 divisors and sum=2066

62
Lokesh Verma ·

That is because they may have excluded the number 1800 (Have they written proper divisors?!)

Ditto with the sum.. they may have substracted 1800 :)

So not a big deal :)

62
Lokesh Verma ·

The sum is a multiple of 6 since each divisor we have to have a multiple of 6..

so this part has a mistake in what is given...

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