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2016 AMC 10A Problem 22

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2016 AMC 10A Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Divisibility & Factors · difficulty 4 of 5 · about 6 min · position P21-25

For some positive integer nn , the number 110n3110n^3 has 110110 positive integer divisors, including 11 and the number 110n3110n^3 . How many positive integer divisors does the number 81n481n^4 have?

  1. A)

    110110

  2. B)

    191191

  3. C)

    261261

  4. D)

    325325

  5. E)

    425425

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