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Questions and Answers
What are factors?
What are factors?
- Numbers that can be multiplied together to get another number (correct)
- Numbers that can be subtracted from another number
- Numbers that can be divided by another number
- Numbers that can be added together to get another number
Which of the following is the definition of the greatest common factor?
Which of the following is the definition of the greatest common factor?
- The highest number that divides exactly into two or more numbers (correct)
- The sum of the numbers that divide exactly into two or more numbers
- The average of the numbers that divide exactly into two or more numbers
- The smallest number that divides exactly into two or more numbers
What are common factors?
What are common factors?
- Factors that are prime numbers
- Factors that are only found in one list of factors
- Factors that are found in both lists of factors (correct)
- Factors that are negative numbers
What are the common factors of 15, 30, and 105?
What are the common factors of 15, 30, and 105?
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What is the purpose of finding the greatest common factor?
What is the purpose of finding the greatest common factor?
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Study Notes
Factors and Greatest Common Factor
- A factor is a whole number that divides another number exactly without leaving a remainder.
- The greatest common factor (GCF) is the largest number that is a factor of all the given numbers.
Definition of Greatest Common Factor
- The GCF is the largest number that divides all the given numbers exactly without leaving a remainder.
Common Factors
- Common factors are the numbers that are common to all the given numbers.
- They are the factors that are shared by all the numbers.
Common Factors of 15, 30, and 105
- The common factors of 15, 30, and 105 are 1, 3, 5, and 15.
Purpose of Finding the Greatest Common Factor
- The purpose of finding the GCF is to simplify fractions, solve problems involving equivalent ratios, and to find the simplest form of a fraction.
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