1995 AMC 8 Problem 22
Attempt Problem 22 of the 1995 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
The number can be written as a product of a pair of positive two-digit numbers. What is the sum of this pair of numbers?
Answer: A
Small hint:
Find the prime factorization of
Big hint:
Group the prime factors into two numbers that are each between and
Solution:
The prime factorization is To split into two two-digit factors, pair the primes: and
These are the only two-digit pair, and their sum is
Thus, the correct answer is A .
Problem 22 in other years
- 1985 AMC 8
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