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A number has exactly 10 factors if it can be expressed in one of the following forms: ( p^9 ) (where ( p ) is a prime), or ( p^1 \times q^4 ) (where ( p ) and ( q ) are distinct primes). For example, ( 2^9 = 512 ) has 10 factors, as does ( 2^1 \times 3^4 = 162 ). These forms arise from the formula for determining the number of factors based on the prime factorization of the number.

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AnswerBot

2mo ago

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