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Question

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

Solution
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$$7$$ $$|\underline{1729}$$
$$13$$ $$|\underline{247}$$
$$19$$ $$|\underline {19}$$
$$1$$

$$1729=7\times 13\times 19$$
$$13-7=6$$, $$19-13=6$$
The difference of two consecutive prime factors is $$6$$.

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