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Q: What is the shortest string of factors that includes prime factorizations of 72 and 120?
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What is the shortest string of factors that includes the prime factorizations of both 72 and 120?

2*2*2*3*3*5


What is the mathematical definition for a length of a factor string?

The number of numbers in the string; how long it is.


What is the shortest string of factors that includes the prime factorization of both 72 and 120?

2 x 2 x 2 x 3 x 3 x 5


What is the shortest string of factors of 72 and 120?

9 x 8 = 72 10 x 12 = 120


What is the longest string of prime factors for 30?

the longest string of prime factor for 30 is 2 x 3 x 5


Is shortest an adverb?

It can be. Shortest is the superlative form of the adjective "short." It can be used in some cases as an adverb (e.g. Which string was cut shortest?). Another adverb form is "most shortly."


What is the universal truth in the piece of string?

The shortest distance between two points is a straight line.


Which string of factors in not a factorization of 180?

9


Can negative numbers have prime factorizations?

No. Any factor string of a negative number would have to include at least one negative number and there aren't any negative prime numbers.


How do you know when you have found the longest string of factors for a number?

When all the factors are prime.


What are the factors that affect the sound of a vibrating guitar strings?

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 longest string of factors for a number?

The prime factorization.