AMC 10 Step by Step
Log inSign up
Printable

2021 AMC Fall 10B Problem 8

Include the solutionBack to the problem
2021 AMC Fall 10B Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Primes · difficulty 2 of 5 · about 2 min · position P1-10

The greatest prime number that is a divisor of 16,38416{,}384 is 22 because 16,384=21416{,}384 = 2^{14} . What is the sum of the digits of the greatest prime number that is a divisor of 16,38316{,}383 ?

  1. A)

    33

  2. B)

    77

  3. C)

    1010

  4. D)

    1616

  5. E)

    2222

Working