Find All The Prime Factors of 1729 and Arrange Them in Ascending Order.


Question: Find all the prime factors of 1729 and arrange them in ascending order. Also, state the relation, if any, between two constructive prime factors.

Prime factorization is a way of expressing a number as a product of its prime factors.

Answer: The prime factors of 1729 arranged in ascending order is 7 < 13 < 19 and the relation between any two consecutive prime factors is that they have a common difference between them which is 6.

Let's find all the prime factors of 1729.

Explanation:

To find the prime factors of 1729, we will prime factorize 1729 as shown below

1729 = 7 × 13 × 19

Factors of 1729 arranged in ascending order will be 7 < 13 < 19

Let's find the difference between these prime factors

19 - 13 = 6, 13 - 7 = 6

Hence, we observe that the difference between the consecutive prime numbers is constant which is 6

Therefore, the prime factors of 1729 arranged in ascending order is 7 < 13 < 19 and the relation between any two consecutive prime factors is that they have a common difference between them which is 6.