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MathNet 2018-part-01 — 181 problems (EN–VI) Question 152

Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)

Question 152

José tore out some consecutive leaves from a book whose pages are numbered with consecutive integers, written on both sides of each leaf. The sum of the numbers of the torn-out pages is $344$.

a) Determine the prime factorization of the number $344$.

b) Find the sum of the first and the last of the numbers written on the torn-out pages.

c) How many pages were torn out?