Use effective reasoning to determine the composite number described.(1 point)

Question

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
.
Remaining Attempt

Answer 1

To find the composite number that fits the given criteria, let's analyze the information step by step:

1. The number must be a composite number. Composite numbers are integers greater than 1 that are not prime—that is, they have more divisors than just 1 and themselves.

2. The number is greater than 16, but less than 20. The integers between 16 and 20 are 17, 18, and 19.

3. Among these numbers, we need to identify which is a composite number.

   • 17 is a prime number (it has no divisors other than 1 and itself).
   • 18 is a composite number (its factors are 1, 2, 3, 6, 9, and 18).
   • 19 is a prime number.

4. Now, we must consider the condition about the factors being "a number and the number doubled." This suggests that one of the factors of the number must have a corresponding factor that is twice that number.

   For 18:

   • The factors of 18 are 1, 2, 3, 6, 9, and 18.
   • Here, we can see:
     • If we take the number 3 (factor) and its double, which is 6 — both 3 and 6 are factors of 18, fitting the criteria.

Therefore, the composite number you are looking for is 18.