When asked to write the prime factorization of the number 27 a student wrote 9•3 explain the error and write the correct answer
9 is not a prime number.
27 = 3 * 3 * 3
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9 is not a prime number. So, finding the prime factorization of the number 27, the answer would be 3•3•3 or 3x3x3 or 3 to the 3rd power
9 is not prime for it can be divided by 3, so his error was not divided the 9 by 3 like so 27/3=9 it should have been 27/3=9 9/3=3 3 raised to the third power
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The error made by the student is stating that 9 multiplied by 3 is the prime factorization of 27. To understand the correct answer, let's break it down step by step.
Prime factorization is the process of expressing a number as a product of its prime factors. In other words, it involves finding the prime numbers that, when multiplied together, give the original number.
To find the prime factorization of 27, we start by dividing it by the smallest prime number, which is 2. However, 2 does not divide evenly into 27, so we move on to the next prime number, which is 3.
When we divide 27 by 3, we get 9. Now, we repeat the process with 9. Again, dividing 9 by 3 gives us 3. Continuing, when we divide 3 by 3, we get 1. At this point, we have reached a prime number (3) being divided by itself, resulting in 1.
To summarize, the prime factorization of 27 is 3 * 3 * 3, or written in exponential form, 3^3.
Therefore, the correct answer to the question is 3^3, not 9 * 3.