12 has 6 positive divisors: 1, 2, 3, 4, 6, 12.
Which of the two numbers has more divisors, or
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Let us first prime factorize the numbers that we are going to compare.
1 2 × 6 = 2 3 × 3 2 1 2 × 9 = 2 2 × 3 3
So, the number of factors in 1 2 × 6 = 2 3 × 3 2 is ( 3 + 1 ) ( 2 + 1 ) = 4 × 3 = 1 2 and 1 2 × 9 = 2 2 × 3 3 is ( 2 + 1 ) ( 3 + 1 ) = 3 × 4 = 1 2 .
Therefore, both 1 2 × 6 and 1 2 × 9 have the equal number of divisors .
To learn how to calculate the number of divisors of a number click here