Home > Homework Solutions
Tran Lee
03/01/2024 · High School

a. Is 17 a prime number or a composite number? Explain how you knove. Is 21 a prime number or a composite number? Explain how you know.

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

a. **17 is a prime number.** A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. The only divisors of 17 are 1 and 17, which means it cannot be divided evenly by any other numbers. Therefore, 17 is prime. **21 is a composite number.** A composite number is a natural number greater than 1 that has more than two positive divisors. The divisors of 21 are 1, 3, 7, and 21. Since 21 can be divided evenly by numbers other than 1 and itself (specifically, 3 and 7), it has more than two divisors, making it a composite number.

Quick Answer

17 is a prime number because it only has 1 and itself as divisors. 21 is a composite number because it has divisors other than 1 and itself, like 3 and 7.
Answered by UpStudy AI and reviewed by a Professional Tutor

Related Questions

Q:

In a right triangle, if one angle measures 35 degrees, what is the measure of the other non-right angle?
A: See Answer
Q:

Type the correct answer in the box. Use numbers instead of words. What number makes the number sentence true?
A: See Answer
Q:

Evaluate \( \left[(21+6)-3^{2}\right] \div 9 \cdot 2 \) 4 4.6 1 52
A: See Answer
Q:

c) \( \frac{8}{3} \times \frac{4}{5} \times \frac{2}{6}= \) d) \( \frac{2}{5} \times \frac{1}{10} * \frac{2}{6} \) e) \( \frac{1}{4} \times \frac{2}{5} \times \frac{3}{5} \)
A: See Answer
Q:

Factor the quadratic expression completely \( -3 x^{2}+17 x-20=\square \)
A: See Answer
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
PREV NEXT
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
Basic
  • Limited Solutions