2 x 2 x 5 x 5
The longest factor string for 9 is 3 x 3.
The longest factor string of 44 is contained within the longest factor string of 132.
The longest factor string of 100 is: 2*2*5*5=100
one
The longest factor string for 45 is 3 x 3 x 5
Shorter factor strings aren't composed entirely of prime numbers.
2x2x5x5
2 x 200 4 x 100
Only one can be longest. 2 x 2 x 2 x 3 x 5 x 7
2 x 2 x 2 x 3 x 5 x 7
What are the factor strings of 120
Factor strings don't necessarily have to be composed entirely of prime numbers. But the longest factor string, the one that is entirely prime numbers, that's the prime factorization.