Factor strings are multiplication sentences.
2 x 8 = 16
3 x 4 x 5 = 60
are examples of factor strings.
9
When all the factors are prime.
The factors of the sound of a guitar string are tuning the string (changes the tension; the tighter the higher) and pressing down on the fret (changes amount of string that vibrates; the shorter the higher)
The prime factorization.
2x3x5
The prime factorization.
When all of the factors are prime. The longest factor string is the prime factorization.
By breaking down one of the factors. 8 x 9 = 72 8 x 3 x 3 = 72
The longest string of prime factors for 30 is 2 x 3 x 5 because there isn't a prime factor string that's longer.
It's a pretty short string. 29 is prime, its only factors are 1 and itself.
Find the prime factors first.
Thickness, length and tension are the main contributing factors in harmonic tone of a string. Materiel density (hardness), composition (such as wound strings vs. simple strings) how and where the string is struck and the acoustics of the instrument are also factors.