Q.6. Find all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.


Answer :

$$ \begin{array}{|l} \llap{7~~~~} 1729 \\ \hline \llap{13~~~~} 247 \\ \hline \llap{19~~~~} 19 \\ \hline 1 \end{array} $$ Hence, the prime factors of 1729 = 7 x 13 x 19.
Here, 13 – 7 = 6 and 19 – 13 = 6
Hence the difference between two consecutive prime factors is 6.

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