Longest multiplication combination for 120?
1*2*3*4*5
1*2=2 2*3=6 6*4=34 34*5=170
To find the longest multiplication combination for 120, we need to factorize 120 into its prime factors and find the combination with the largest number of factors.
Step 1: Prime factorization of 120
120 can be factorized as: 2 * 2 * 2 * 3 * 5
Step 2: Finding multiplication combinations
To find the multiplication combinations, we can combine the prime factors in different ways. Since we have three 2's, one 3, and one 5, we can arrange them in various combinations.
The possible multiplication combinations for 120 are:
1 * 120 = 120
2 * 60 = 120
3 * 40 = 120
4 * 30 = 120
5 * 24 = 120
6 * 20 = 120
8 * 15 = 120
10 * 12 = 120
Step 3: Longest multiplication combination
Among the above combinations, the longest multiplication combination (in terms of the number of factors) is 2 * 2 * 2 * 3 * 5, which factors out 120 completely.
Therefore, the longest multiplication combination for 120 is 2 * 2 * 2 * 3 * 5.