Which is a complete list of factors of each term in the expression [tex]$15+20 x ?$[/tex]
15: 1, 3, 5, 15
[tex]$20 x: 1,2,4,5,10,20, x$[/tex]
Answer (2)
The factors of 15 are 1, 3, 5, and 15.
The factors of 20 x are 1, 2, 4, 5, 10, 20, and x .
Therefore, the complete list of factors for each term is: 15: 1, 3, 5, 15 20 x : 1, 2, 4, 5, 10, 20, x .
The final answer is: 15: 1, 3, 5, 15 20 x : 1, 2, 4, 5, 10, 20, x .
Explanation
Understanding the Problem We are asked to find all the factors of each term in the expression 15 + 20 x . The terms are 15 and 20 x .
Finding Factors of 15 The factors of 15 are the numbers that divide 15 evenly. These are 1, 3, 5, and 15.
Finding Factors of 20x The factors of 20 x are the numbers and variables that divide 20 x evenly. The factors of 20 are 1, 2, 4, 5, 10, and 20. Since x is also a factor, we include it in the list. So, the factors of 20 x are 1, 2, 4, 5, 10, 20, and x .
Final Answer Therefore, the complete list of factors for each term is:
15: 1, 3, 5, 15
20 x : 1, 2, 4, 5, 10, 20, x
Examples
Understanding factors is essential in many real-life situations. For example, if you are planning a party and have 15 cookies and 20 slices of pizza, knowing the factors helps you determine how to divide the food evenly among your guests. The factors of 15 (1, 3, 5, 15) tell you the different ways you can group the cookies, while the factors of 20 (1, 2, 4, 5, 10, 20) help you divide the pizza slices equally. This ensures everyone gets a fair share and no food is wasted. Similarly, in business, understanding factors helps in inventory management and resource allocation.
The factors of 15 are 1, 3, 5, and 15. The factors of 20x, considering both the number and the variable, are 1, 2, 4, 5, 10, 20, and x. Therefore, we have a clear list of factors for each term in the expression 15 + 20x.
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