When all of the numbers are prime.
For composite numbers, only one string of factors is the longest; the prime factorization.
The number of numbers in the string; how long it is.
A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
The longest factor string of any composite number is its prime factorization.
The longest factor string is 2x2x2x3x13. It is always best to list your factor string from the least to greatest number.
Shorter factor strings aren't composed entirely of prime numbers.
The prime factorization.
when i did this problem i was doing a eratosthenes sieve method and the numbers was from 1-100 so i got the longest string of consecutive composite numbers on the grid are 74-82 this should be right. BTW I'm 13 doing my moms college work Sorry, but 79 is a prime number. I got 90~96
The prime factorization
the longest factor string for 840 is: 2x2x2x3x5x7. I hoped that helped m! Have a good rest of your day!
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.