To simplify the expression \( 1614 \) using the factors of \( 16 \), you need to consider the prime factorization of \( 16 \). The most simplified form of \( 16 \) is \( 16 = 2^4 \) or \( 16 = 4 \times 4 \).
The possible options you provided include various ways to express \( 16 \):
- \( 16 = 2 \times 2 \times 2 \times 2 \)
- \( 16 = 4 \times 2 \times 2 \)
- \( 16 = 8 \times 8 \)
- \( 16 = 4 \times 4 \)
Let's evaluate which of these can help simplify \( 1614 \):
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Using \( 16 = 2 \times 2 \times 2 \times 2 \): This shows all factors as primes, but doesn’t immediately help in simplification.
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Using \( 16 = 4 \times 2 \times 2 \): This breaks it down but may not directly simplify the expression.
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Using \( 16 = 8 \times 8 \): This indicates that \( 16 \) is the product of two equal parts.
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Using \( 16 = 4 \times 4 \): This highlights that \( 16 \) can be represented as the product of two \( 4s \).
Among all options, \( 16 = 4 \times 4 \) is quite useful because it gives a straightforward factorization that directly relates to the concept of \( 16 \) as a square of \( 4 \), which might help if \( 1614 \) involves squares or can be factored down further.
Thus, the best choice to simplify the expression would be \( 16 = 4 \times 4 \).