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
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Let's examine the clues step by step to determine the composite number described:
1. Composite numbers have more than two factors (meaning at least one factor isn't 1 or itself).
2. The number is greater than 16 but less than 20. So, our choices are limited to the numbers 17, 18, and 19.
3. Two of the factors are a number and the number doubled. This means we're looking for two factors wherein one is double the other.
Now, let's check which of the numbers between 17 and 19 are composite:
- 17 is a prime number, not composite, because its only factors are 1 and 17.
- 18 is composite. Its factors include 1, 2, 3, 6, 9, and 18. Here, we notice that 3 and 6 are factors of 18, and 6 is double 3.
- 19 is a prime number, not composite, because its only factors are 1 and 19.
Considering the given information and examining the factors, we can conclude that the number described is 18. It is a composite number greater than 16 but less than 20, and it has a pair of factors, 3 and 6, where one factor is double the other.