Question
\( 1 ; 2 ; 3 ; 4 ; 6 ; 8 ; 12 ; 24 \). a. Which number is the first multiple of 12 ? b. Which of these numbers are factors of 8 ? c. Which of these numbers are prime numbers? d. Which of these numbers are multiples of 3 ?
Ask by Coleman Ortiz. in South Africa
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. The first multiple of 12 is **12**.
b. The factors of 8 are **1, 2, 4, 8**.
c. The prime numbers are **2** and **3**.
d. The multiples of 3 are **3, 6, 12, 24**.
Solution
Solve the equation by following steps:
- step0: Solve for \(k\):
\(8=k\)
- step1: Swap the sides:
\(k=8\)
Solve the equation \( p=2 \).
Solve the equation by following steps:
- step0: Solve for \(p\):
\(p=2\)
Let's solve each part of the problem step by step.
### a. Which number is the first multiple of 12?
The multiples of 12 are \(12, 24, 36, \ldots\). From the given list \(1, 2, 3, 4, 6, 8, 12, 24\), the first multiple of 12 is **12**.
### b. Which of these numbers are factors of 8?
To find the factors of 8, we can check which numbers from the list divide 8 without leaving a remainder. The factors of 8 are \(1, 2, 4, 8\). From the list, the factors of 8 are:
- **1**
- **2**
- **4**
- **8**
### c. Which of these numbers are prime numbers?
A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. From the list:
- **2** (prime)
- **3** (prime)
- **4** (not prime)
- **6** (not prime)
- **8** (not prime)
- **12** (not prime)
- **24** (not prime)
The prime numbers from the list are **2** and **3**.
### d. Which of these numbers are multiples of 3?
The multiples of 3 are \(3, 6, 9, 12, 15, 18, 21, 24, \ldots\). From the given list, the multiples of 3 are:
- **3**
- **6**
- **12**
- **24**
### Summary of Answers:
a. First multiple of 12: **12**
b. Factors of 8: **1, 2, 4, 8**
c. Prime numbers: **2, 3**
d. Multiples of 3: **3, 6, 12, 24**
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


Extra Insights
The first multiple of 12 in the list is 24. It's the first number that can be evenly divided by 12, showcasing the beauty of multiples in relation to their factors. The factors of 8 from your list are 1, 2, 4, and 8. Each of these numbers divides evenly into 8, which makes them its trusty companions in the world of factors!