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What are the longest factor string for 840 and explain why?
The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
How do you know when you have found the longest possible factor string of a number?
When all of the numbers are prime.
How do you know when you have found the longest factor string for 840?
You will know because all of the numbers are prime.
What is the shortest string of factors that includes prime factorizations of 72 and 120?
2
What is 29's factor string?
It's a pretty short string. 29 is prime, its only factors are 1 and itself.
Why is 1x2x1x3x1x5 not the longest string of prime factors?
Because 1 isn't prime.
What is the longest string of prime factors?
The prime factorization.
The longest string of factors for a number?
The prime factorization.
Which is the longest string of prime factors for 30?
2x3x5
How do you know you have the biggest factor string?
When all of the factors are prime. The longest factor string is the prime factorization.
How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
What is the longest string of prime factors for 30 and why?
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.
What is the longest factor string for 600?
Find the prime factors first.
What are the longest factor string for 840 and explain why?
The longest factor string for 840 is its prime factorization because prime factors can't be broken down any further.
What is the longest string of prime factors for 30?
the longest string of prime factor for 30 is 2 x 3 x 5
How do you know when you have found the longest factor string for a number?
All of the factors are prime.
How many longest strings of factors are there for a given number?
For composite numbers, only one string of factors is the longest; the prime factorization.
