Math Problem Statement
Solve this sum. Get to the number 112 using only the numbers 1 through 6 and you can ONLY use four numbers. You also cannot repeat a number you have already used. You can also ONLY use multiplication. No addition, subtraction or division and you are not allowed to use notation either. Just multilying four numbers together. The amount of numbers used to achieve 112 also has to be four numbers exactly, not less or more than four.
Solution
To solve this problem, we need to use exactly four different numbers from the set {1, 2, 3, 4, 5, 6} and multiply them together to get 112.
Let's check different combinations:
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is not allowed as 14 is outside the range.
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Try the prime factors of 112:
- . This helps suggest the need for more powers of primes
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Math Problem Analysis
Mathematical Concepts
Multiplication
Factorization
Prime Factorization
Formulas
112 = 2^4 × 7 (Prime Factorization)
Finding product using four factors
Theorems
Fundamental Theorem of Arithmetic
Suitable Grade Level
Grades 5-7