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2014 AMC 10B Problem 17

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2014 AMC 10B Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Divisibility & Factors · difficulty 3 of 5 · about 4 min · position P16-20

What is the greatest power of 22 that is a factor of 101002−450110^{1002} - 4^{501} ?

  1. A)

    210022^{1002}

  2. B)

    210032^{1003}

  3. C)

    210042^{1004}

  4. D)

    210052^{1005}

  5. E)

    210062^{1006}

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