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Prime factors of 210= 2,3,5,7
Multiplication 2 and 3 give us 6. So remaining prime factors are 5 & 7

Multiples of 6 in 210=
6*1
6*5
6*7
6*5*7

4 multiples of 6

Out of total =2*2*2*2=16 multiple

4/16=1/4 is the probability.
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Wordings are complex here.

Each factor of 210 is written on a piece of paper =====> EACH PAPER will have 1 factor of 210

and all such piece of papers are mixed up=========>> All factors are mixed together.

If a piece of paper is randomly picked up from this mix===> If a factor is taken from all factors of 210.

what is the probability that the number is a multiple of 6?===> what is the probability that that factor is a multiple of 6?

In simple words, how many factors of 210 is a multiple of 6 ?

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