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Expert-verified Found in: Page 172 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # 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 $180=2×2×3×3×5$.

See the step by step solution

## 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,

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

Write the number in terms of prime factors.

$180=2×2×3×3×5$

## Step-3- Conclusion

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

The prime factorization is $180=2×2×3×3×5$. ### Want to see more solutions like these? 