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5 expressed as a Roman numeral is V which is symmetrical

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Q: Why is the number 5 symmetric?
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What is the possible number of symmetric relations on a set of 5 elements?

The number is 5! = 120


Is there a symmetric factor tree for every composite number?

It depends what you mean by symmetric. If you mean that there are the same number of factors on each branch, then the answer is No. eg 20 / \ 4 5 / \ 2 2


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