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Math · K-12 · School

Number Theory: Primes and Factors

Prime factorization, greatest common factor, and least common multiple concepts for middle school math.

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30 basic cards for K-12 Math. It opens with "What is a prime number?" and "What is a composite number?". Study it alongside the other K-12 sets below.

30 cards · basic cards · AI-written, checked twice. Edit anything.

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What is a prime number?
Show answerA whole number greater than 1 that has no positive divisors other than 1 and itself.
What is a composite number?
Show answerA whole number greater than 1 that has at least one positive divisor other than 1 and itself.
What is a factor?
Show answerA number that divides evenly into another number with no remainder.
What is a multiple?
Show answerThe product of a number and any whole number (including zero).
What is prime factorization?
Show answerWriting a number as a product of its prime factors.
List the first five prime numbers.
Show answer2, 3, 5, 7, 11
What is a factor tree?
Show answerA diagram showing how a number breaks down into its prime factors by repeated division.
What is the prime factorization of 24?
Show answer2 to the power of 3 times 3, or 2^3 * 3
What is the prime factorization of 36?
Show answer2 squared times 3 squared, or 2^2 * 3^2
What is the prime factorization of 60?
Show answer2^2 * 3 * 5
What is the greatest common factor (GCF)?
Show answerThe largest positive integer that divides evenly into two or more numbers.
How do you find the GCF of two numbers using prime factorization?
Show answerFind the prime factorization of each number, then multiply all common prime factors using their lowest exponents.
What is the GCF of 24 and 36?
Show answer12
What is the GCF of 12 and 18?
Show answer6
What is the GCF of 20 and 30?
Show answer10

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