OCR Further Additional Pure AS 2020 November — Question 3

Exam BoardOCR
ModuleFurther Additional Pure AS (Further Additional Pure AS)
Year2020
SessionNovember
TopicNumber Theory

3 In this question, \(N\) is the number 26132652.
  1. Without dividing \(N\) by 13, explain why 13 is a factor of \(N\).
  2. Use standard divisibility tests to show that 36 is a factor of \(N\). It is given that \(N = 36 \times 725907\).
  3. Use the results of parts (a) and (b) to deduce that 13 is a factor of 725907.