Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Question
Chapter 4.1, Problem 11C
To determine
To find whether the number is prime or composite. If the number is composite, write its prime factorization.
Expert Solution & Answer
Answer to Problem 11C
The number is composite.
Explanation of Solution
Given Information: Number 180
Formula used: To check if the numbers is prime or composite by finding its factors. If its factors are more than 2(except 1 and the number itself), then the number is composite else prime.
Calculation:
To determine if 180 is a prime number or a composite number, simply look at the factors for 180.
If the factors of 180 are only 180 and 1, then 180 is a prime number. Otherwise, 180 is a composite number.
To explain better, if 180 is only divisible by 1 and 180, then it is a prime number, and if 180 is divisible by more than 180 and 1, then it is a composite number.
The factors of 180 are as follows:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Therefore, since 180 is divisible by more than one and itself, the number is composite.
Chapter 4 Solutions
Pre-Algebra
Ch. 4.1 - Prob. 1CCh. 4.1 - Prob. 2CCh. 4.1 - Prob. 3CCh. 4.1 - Prob. 4CCh. 4.1 - Prob. 5CCh. 4.1 - Prob. 6CCh. 4.1 - Prob. 7CCh. 4.1 - Prob. 8CCh. 4.1 - Prob. 9CCh. 4.1 - Prob. 10C
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- Question 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 inarrow_forward◄ Listen A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 560 square feet. Find the width of the walkway (x) if the garden measures 15 feet wide by 19 feet long. Write answer to 2 decimal places. (Write the number without units). X 15 feet Your Answer: 19 feet Xarrow_forwardListen A stuntman jumps from a roof 440 feet from the ground. How long will it take him to reach the ground? Use the formula, distance, d = 16t2, (where t is in seconds). Write answer to 1 decimal place. (Write the number, not the units). Your Answer:arrow_forward
- Solve using the quadratic equation formula 4x² + 12x=-6 ○ a) -12±√√3 2 b) -3±√15 -3+√15 2 ○ c) c) -3±√√√3 2 d) -3±√3 8arrow_forwardListen Solve the quadratic equation by factoring. One solution is 0. Find the other. 2x² + 16x = 0 Your Answer: Answerarrow_forwardSolve x²+4x-45 = 0 ○ A) -9,5 ☐ B) -15, 3 C) -3,15 D) -5,9arrow_forward
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