Question

Find the prime factors of 1729. Arrange the factors in ascending order, and find the relation between two consecutive prime factors.

Answer 1

The given number is 1729.
We have:

Thus, the number 1729 can be expressed in the form of its prime factors as 7 ×13 ×19.

Relation between its two consecutive prime factors:

The consecutive prime factors of the given number are 7, 13, and 19.
Clearly, 13 − 7 = 6 and 19 − 13 = 6
Here, in two consecutive prime factors, the latter is 6 more than the previous one.