Chen Mccarthy
12/27/2023 · Primary School

Which of the following statements are TRUE? Select ALL that ap If a number is divisible by 3 and by 4 , then it is divisible by 12 . If a number is divisible by 6 and by 4 , then it is divisible by 24 . The number 119 is a composite number. 12 is a factor of 6. All even numbers are composite numbers. All prime numbers are odd numbers.

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

Let's evaluate each statement one by one: 1. **If a number is divisible by 3 and by 4, then it is divisible by 12.** - **True.** A number that is divisible by both 3 and 4 is also divisible by their least common multiple, which is 12. 2. **If a number is divisible by 6 and by 4, then it is divisible by 24.** - **False.** A number divisible by 6 (which is 2 and 3) and by 4 (which is 2 and 2) is not necessarily divisible by 24. For example, 12 is divisible by both 6 and 4 but not by 24. 3. **The number 119 is a composite number.** - **True.** The number 119 can be factored into 7 and 17 (119 = 7 × 17), so it is a composite number. 4. **12 is a factor of 6.** - **False.** 12 is not a factor of 6; rather, 6 is a factor of 12. 5. **All even numbers are composite numbers.** - **False.** The number 2 is an even number, but it is a prime number, not composite. 6. **All prime numbers are odd numbers.** - **False.** The number 2 is a prime number and it is even. Based on this evaluation, the true statements are: - If a number is divisible by 3 and by 4, then it is divisible by 12. - The number 119 is a composite number.

Quick Answer

- If a number is divisible by 3 and by 4, then it is divisible by 12. - The number 119 is a composite number.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions