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To have exactly 9 factors, the number would either have to have a Prime number raised to the 8th. power; this is not possible with two digits.The other option is to have a prime number raised to the second power, times another prime number raised to the second power. (The number of factors in this case is (2 + 1)(2 + 1).) This is only possible if you use the prime factors 2 and 3; any other combination of prime numbers will yield a number that has more than 2 digits.

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36 has 9 factors.

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9y ago
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Q: What is the largest two digit number to the exactly 9 factors?
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