High School Placement Test (HSPT) Practice Test

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Prepare for the High School Placement Test (HSPT) with our quiz. Utilize flashcards and multiple choice questions, each with hints and explanations. Set yourself up for success on test day!

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What are the factors of 27?

  1. 1, 3, 9, 27

  2. 1, 2, 3, 5

  3. 1, 3, 9

  4. 2, 3, 5, 9

The correct answer is: 1, 3, 9

The correct choice lists the factors of 27 accurately. A factor is a number that divides another number completely, meaning there is no remainder left over. To determine the factors of 27, we consider which whole numbers can be multiplied together to give 27. Starting with the number 1, it is a factor of every integer, including 27. Next, 3 is also a factor of 27 because 27 divided by 3 equals 9, which is a whole number. Thus, 3 and 9 are both factors. Finally, 27 itself is a factor, as any number is a factor of itself. So, the complete list of the factors of 27 is 1, 3, 9, and 27, which means the only option that appears to contain factors that successfully divide into 27 without a remainder is the first choice. However, option C only lists 1, 3, and 9, which are indeed part of the factors of 27 but does not include the complete set. The other options include numbers that do not divide evenly into 27, such as 2 and 5, which further clarifies why they are not correct. Thus, while option C captures some