3. In the following, a factor may be prime, composite or 1. Note that 6 has 4 factors (1, 2, 3 and 6) and 16 has 5 factors (1, 2, 4, 8 and 16). a. What is the smallest positive integer with exactly 15 factors? b. What is the smallest positive integer with exactly 16 factors? c. For a given positive integer n, describe a method for finding the smallest positive integer with exactly n factors.

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A: No. Of factor of prime no. Means how many divisor consist of a prime no.

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A: .

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Q: i need the last one, thank you

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A: Solution is given as below:

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A: we will check all the options to ensure which is correct.

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A: 7,999,999,999 has at most two prime factors, We have to find its largest prime factor.

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A: NOTE- AS PER POLICY I  HAVE CALCULATED FIRST MAIN QUESTION ONLY. Here Given 4 digits 1,2,3,4

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Q: positive

A: Given:       integers ±1 , ±2 , ±3, ±4Sum of four positive integer = + 10Sum of four Negative…

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A: To answer the given questions.