Explore Prime Factorization and GCF Concepts

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What is Prime Factorization?

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Prime Factorization is the process of expressing a number as the product of its prime factors.

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What is a Prime Number?

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A Prime Number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

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What is a Composite Number?

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A Composite Number is a natural number greater than 1 that is not prime, meaning it has more than two positive divisors.

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What is the Greatest Common Factor (GCF)?

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The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

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How do you find the GCF of two numbers?

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To find the GCF, list the prime factors of each number and multiply the common factors.

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What is the base in an exponent?

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The base is the number that is multiplied by itself in an exponent.

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What is the exponent in an expression like 2^3?

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The exponent indicates how many times the base is multiplied by itself.

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Convert the expression 5 × 5 × 5 × 5 into power notation.

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5^4

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What does the dot symbol (·) represent in mathematics?

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The dot symbol represents multiplication.

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What is the prime factorization of 12?

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The prime factorization of 12 is 2^2 × 3.