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Questions and Answers
What is the greatest common factor (GCF) of 126 and 144?
What is the least common multiple (LCM) of 24 and 60?
Which of the following factors is common to both the numbers 60 and 150?
Which of the following is the correct prime factorization of 150?
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In the prime factorization of 40, what exponent is given to the prime number 2?
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When simplifying the fraction $ rac{24}{40}$, which common factor is used?
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What is the prime factorization of 60?
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For the numbers 28, 42, and 63, what is their least common multiple (LCM)?
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Study Notes
Prime Numbers and Prime Factorization
- A prime number is a whole number dividable by only 1 and itself.
- Prime factorization breaks down a number into its prime factors.
Greatest Common Factor (GCF)
- The largest whole number that a series of numbers can be divided by to give whole numbers.
- To find the GCF, use prime factorization and multiply the common factors.
Least Common Multiple (LCM)
- The smallest multiple that a set of numbers shares.
- To find the LCM, use prime factorization and multiply all prime factors, including duplicates (repeated factors from each number), to get the lowest common multiple.
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Description
Test your knowledge on prime numbers, prime factorization, GCF, and LCM. This quiz will challenge you with questions that explore how to identify prime numbers and calculate both the greatest common factor and least common multiple of sets of numbers.
