All the numbers in the proportion :∷:s are integers greater than 1. The product of means in the proportion is 30. If ‘’ is the smallest integer possible here, what is the value of’ ‘p’?
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Step-by-step explanation:
If p is the product of integers from 1 to 30, inclusive, what is the greatest integer k for which is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18
Given .
Now, we should check the highest power of 3 in 30!: . So the highest power of 3 in 30! is 14.
Answer: C.
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