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.

Answer 1

Hint: First find the prime factors (using prime factorization) and then arrange them in ascending order i.e. the smallest number first and the largest at the end, and then see if there is any pattern between the consecutive prime factors.

Complete step-by-step answer:
Prime factor of 1729 (by dividing the original number by prime numbers until we get a decimal or remainder)
1729 = 13×19×7
=7×13×19
Now ascending order
7 < 13 < 19
Then the relation between two consecutive prime factors is that the difference between them is 6.

Note: Prime factors (a factor that is a prime number) : Any of the prime numbers that can be multiplied to give the original number are called prime factors. Prime numbers are the numbers that have only two factors one and themselves.