Use effective reasoning to determine the composite number described.(1 point)
I am a composite number. I am greater than 16, but less than 20. Two of my factors are a number and the number doubled. I am the number ___
Use effective reasoning to determine the composite number described.(1 point)
I am a composite number. I am greater than 16, but less than 20. Two of my factors are a number and the number doubled. I am the number ___
Let's start by listing the numbers between 16 and 20: 17, 18, and 19.
Next, we need to determine which of these numbers have factors that consist of a number and the number doubled.
For 17, the factors would be 1 and 17 (since 1 x 17 = 17), but there is no number that can be doubled to give us 17.
For 18, the factors would be 1 and 18, but again, there is no number that can be doubled to give us 18.
Lastly, for 19, the factors would be 1 and 19, and once again, there is no number that can be doubled to give us 19.
Therefore, based on effective reasoning, we can conclude that there is no composite number greater than 16 and less than 20 whose factors consist of a number and the number doubled.
ChatGPT says, "The number you're describing is 18.
18 is greater than 16 and less than 20. Its factors include 1, 2, 3, 6, 9, and 18. Among these factors, 2 is a number, and 2 times 2 equals 4, which is also one of its factors. So, the factors of 18 include a number and the number doubled, fulfilling your criteria."
To determine the composite number described, we need to follow a logical thought process using effective reasoning.
First, we know that the number is greater than 16 but less than 20. Therefore, we can eliminate any numbers that do not fall within this range.
Next, we are provided with the information that two of the number's factors are a number and the number doubled. Let's consider the possible factors within our given range:
- If the number were 17, its factors would be 1 and 17. However, the number doubled would be 34, which is not a factor of 17. Therefore, 17 does not satisfy the given conditions.
- If the number were 18, its factors would be 1 and 18. The number doubled would be 36, which is a multiple of 18. Therefore, 18 satisfies the given conditions.
Hence, the composite number described, greater than 16 and less than 20, with two factors being a number and the number doubled, is 18.