Chapter 2 Quiz (2-1 & 2-2)

The question asks whether the person knows how to draw a factor tree and states that there will be one on the quiz. The answer "Yes" indicates that the person does know how to draw a factor tree.

The given numbers 9, 3, 27, and 6 are all multiples of 3. However, only 27 is not divisible by 9. Therefore, the number 27 is the only one that cannot be simplified further by dividing it by 9, making it the correct answer.

The factors of a number are the numbers that can be multiplied together to get that number. In this case, the factors of 32 are 1, 2, 4, 8, 16, and 32. These numbers can be multiplied in different combinations to equal 32. For example, 2 multiplied by 16 equals 32, or 4 multiplied by 8 equals 32. Therefore, the given answer of 1, 2, 4, 8, 16, 32 is correct.

A prime number is a number that is only divisible by 1 and itself. Among the given numbers, 13 is the only one that meets this criteria. 18 is divisible by 1, 2, 3, 6, 9, and 18. 9 is divisible by 1, 3, and 9. 68 is divisible by 1, 2, 4, 17, 34, and 68. Therefore, the only prime number among the options is 13.

To write 6 x 6 x 6 x 6 x 6 as an exponent, we need to determine the number of times 6 is multiplied by itself. In this case, 6 is multiplied by itself 5 times. Therefore, 6 x 6 x 6 x 6 x 6 can be written as 6^5, which equals 7776.

The greatest common factor (GCF) is the largest number that divides evenly into both 12 and 15. To find the GCF, we can list the factors of both numbers and find the largest number that appears in both lists. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 15 are 1, 3, 5, and 15. The largest number that appears in both lists is 3, so the GCF of 12 and 15 is 3.

Remember to use a factor tree.

Remember to watch your signs
-4 x -4 x -4 x -4
16 x -4 x -4
-64 x -4
256

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Make sure you don't mix up LCM with GCF.

Multiples of 9: 9, 18, 27, 36, 45...

Multiples of 12: 12, 24, 36, 48...

Least common multiple = 36