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Math · K-12

Number Theory: Primes and Factors

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

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

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

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