Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What is the value of [20] ...?

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21-11-2016
Mathematics

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Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What is the value of [20] ...?

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Lampa20 Lampa20 · Answer 1 · 2016-11-23T11:33:20+01:00

Lampa20 Lampa20

23-11-2016

First you write down all even integers that divide 20.

Those are: 2,4,10,20

Since the request is that integer is less than n, 20 cannot be the answer.
This means that greatest even integer is 10

Answer is 10.

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