The prime factorization.
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When all the factors are prime.
the longest string of prime factor for 30 is 2 x 3 x 5
The prime factorization.
Factors are integers that can be multiplied together to create a product. Such multiplication sentences are called strings. The length of the string is how many numbers are in it. 6 x 4 is a factor string for 24. 2 x 3 x 4 is a longer factor string for 24. 2 x 2 x 2 x 3 is the longest factor string for 24. The longest factor string is also known as the prime factorization.
The longest factor string for 42 is when we break down 42 into its prime factors. 42 can be expressed as 2 x 3 x 7. This is the longest factor string because these are the prime numbers that, when multiplied together, result in 42.