The numbers 1, 2, 3,..., 100 can be used to form any two-factor product. Out of the total obtained, how many factors are multiples of six?
1422
1244
1532
1643
The total number of 2-factor products is given by,
The numbers from 1 to 100 which are not multiples of 6 is 84.
Thus, the total number of 2-factor products which are not multiples of 6 is given by,
Thus, the required number of ways is,
Therefore, the total number of ways the factors can be formed in 1422 ways.
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