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.
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