Example
Q
Comment on the prime factors of 9,625.
Sol:
9,625
=
5 × 1,925
=
5 × 5 × 385
=
5 × 5 × 5 × 77
=
5 × 5 × 5 × 7 × 11
The above is the prime factorization of 9,625.
Note that 7 and 11 appear once while 5 appears thrice.
For the prime factors, 5 shall be considered only once.
So the prime factors of 9,625 are 5, 7 and 11.
These are three consecutive prime numbers.
Hence they form a "prime triplet".