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Counting Positive Factors

Number Theory Level 2

12 has 6 positive divisors: 1, 2, 3, 4, 6, 12.

Which of the two numbers has more divisors, $12\times 6$ or $12\times 9?$

12 \times 6

12 \times 9

Both have an equal number of divisors.

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by Agnishom Chattopadhyay

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