What is the minimum and what is the maximum sum of 7 numbers which product is equal to 30?
Teacher tip
Suitable for exercising the factorization of numbers.Solution
These are all representations of the number 30 as a product of 7 numbers:
30=30⋅1⋅1⋅1⋅1⋅1⋅1,
30=15⋅2⋅1⋅1⋅1⋅1⋅1,
30=10⋅3⋅1⋅1⋅1⋅1⋅1,
30=5⋅6⋅1⋅1⋅1⋅1⋅1,
30=5⋅3⋅2⋅1⋅1⋅1⋅1.
The minimum sum is 5+3+2+1+1+1+1=14, and the maximum sum is 30+1+1+1+1+1+1=36.
30=30⋅1⋅1⋅1⋅1⋅1⋅1,
30=15⋅2⋅1⋅1⋅1⋅1⋅1,
30=10⋅3⋅1⋅1⋅1⋅1⋅1,
30=5⋅6⋅1⋅1⋅1⋅1⋅1,
30=5⋅3⋅2⋅1⋅1⋅1⋅1.
The minimum sum is 5+3+2+1+1+1+1=14, and the maximum sum is 30+1+1+1+1+1+1=36.
Additional question
Can you find the minimum and the maximum product of 7 numbers which sum is equal to 30?
14/18
ReplyDeleteThe minimum sum is 14 (=5+3+2+1+1+1+1), but the maximum sum is much more higher than 18.
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