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

To do:

We have to find all the prime factors of 1729 and arrange them in ascending order.

Solution:

$1729=7\times247$

$=7\times13\times19$

The relation between two consecutive prime factors is,

$13-7=6$

$19-13=6$

Therefore, the difference between two consecutive prime factors is 6.

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