Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q11.

Expert-verified

Pre-algebra

Found in: Page 172

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Tell whether the number is prime or composite. If it is composite, write its prime factorization.

180

180 is a composite number and prime factorization is $180 = 2 \times 2 \times 3 \times 3 \times 5$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1-Recall the concept of prime and composite numbers

Prime numbers are the numbers which are divisible by 1 and itself.

Composite numbers are the numbers which have factors other than 1 and itself.

Step-2- Find the factors of the given number

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.

Observe that,

$\begin{array}{l} 180 \div 2 = 90 \\ 90 \div 2 = 45 \\ 45 \div 5 = 9 \\ 9 \div 3 = 3 \\ 3 \div 3 = 1 \end{array}$

Write the number in terms of prime factors.

$180 = 2 \times 2 \times 3 \times 3 \times 5$

Step-3- Conclusion

Since 180 has factors other than 1 and itself, it is a composite number.

The prime factorization is $180 = 2 \times 2 \times 3 \times 3 \times 5$ .

Most popular questions for Math Textbooks

Tell whether the number is prime or composite. If it is composite, write its prime factorization.

420

Tell whether the number is prime or composite.

23

Write the mixed number as an improper fraction. $5 \frac{1}{3}$

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

12, 33

Write all the factors of the number.

33

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free