Prime factorization, greatest common factor, and least common multiple concepts for middle school math.
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- What is a prime number?
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A whole number greater than 1 that has no positive divisors other than 1 and itself.
- What is a composite number?
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A whole number greater than 1 that has at least one positive divisor other than 1 and itself.
- What is a factor?
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A number that divides evenly into another number with no remainder.
- What is a multiple?
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The product of a number and any whole number (including zero).
- What is prime factorization?
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Writing a number as a product of its prime factors.
- List the first five prime numbers.
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2, 3, 5, 7, 11
- What is a factor tree?
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A diagram showing how a number breaks down into its prime factors by repeated division.
- What is the prime factorization of 24?
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2 to the power of 3 times 3, or 2^3 * 3
- What is the prime factorization of 36?
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2 squared times 3 squared, or 2^2 * 3^2
- What is the prime factorization of 60?
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2^2 * 3 * 5
- What is the greatest common factor (GCF)?
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The largest positive integer that divides evenly into two or more numbers.
- How do you find the GCF of two numbers using prime factorization?
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Find the prime factorization of each number, then multiply all common prime factors using their lowest exponents.
- What is the GCF of 24 and 36?
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12
- What is the GCF of 12 and 18?
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6
- What is the GCF of 20 and 30?
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10