2. What are the factors of 27 ? Use an area model to find the factors. \( 1,3,8,27 \) \( 1,3,9,27 \) \( 1,3,9 \) 1, 1,3,7,9,27
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To find the factors of 27, you can use an area model by drawing a rectangle that represents the total area of 27 square units. Since 27 can be expressed as the product of integers, you could showcase dimensions such as 1x27 or 3x9. This visual representation makes it clear that 1, 3, 9, and 27 are indeed the factors, as they are the whole numbers that can multiply together to reach 27. Did you know that the factors of a number can also reveal its properties in number theory? For instance, 27 is a perfect cube, being \(3^3\). This means not only does it have those factors, but it also influences the way we see the number in relation to prime factorization, divisibility, and even more advanced concepts like modular arithmetic!