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Since 2187is an ODD Number, try the lowest odd Prime number '3'.

Hence

3)2187

729 Keep on dividing by '3', until it will go no further, then try the next prime number '5'.

Keep on doing this until you reduce to '1' .

Hence

3)729

3)243

3)81

3)27

3)9

3)3

=1 Reduced to '1'.

We have divided by '3' seven times over. Hence

2187 = 3^(7)_ The answer!!!!!

NB Division by other prime numbers was not needed.

NNB Use this 'step-ladder' system to find all the fctors/exponents of a given number.

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lenpollock

Lvl 17
∙ 1w ago
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