QQuestionMathematics
QuestionMathematics
How could you find all the factor pairs of 30 using a set of 30 pennies?
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this problem step by step, using the guidelines you specified:
Step 2:: Understand the Problem
To find factor pairs of 30, we'll use a systematic approach with 30 pennies. A factor pair consists of two numbers that, when multiplied together, equal 30.
Step 3:: Arrange the Pennies
We'll start by creating different rectangular arrangements using the 30 pennies to represent the factor pairs.
Step 4:: List Possible Arrangements
- $$5 \times 6$$: 5 rows of 6 pennies, or 6 rows of 5 pennies
Let's systematically list out all possible rectangular arrangements:
Step 5:: Identify Factor Pairs
- $$5 \times 6
From these arrangements, we can identify the factor pairs:
Final Answer
- (1, 30) - (2, 15) - (3, 10) - (5, 6) Note: This method provides a visual and tactile way to understand factor pairs by physically arranging the pennies into rectangular groups.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students