Prime factorization

Front

What is prime factorization?

Back

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.

Front

What is a composite number?

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A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

What is the prime factorization of 48?

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The prime factorization of 48 is 3 x 2^4.

Front

What is the exponential form of 2⋅2⋅2⋅3⋅3⋅5⋅7?

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The exponential form is 2³⋅3²⋅5⋅7.

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How do you find the prime factorization of a number using a factor tree?

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You divide the number by prime numbers until you reach 1, writing the prime factors as branches.

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What are the first five prime numbers?

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The first five prime numbers are 2, 3, 5, 7, and 11.

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What does it mean for a number to be a factor?

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A factor is a number that divides another number without leaving a remainder.

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What is the prime factorization of 384?

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The prime factorization of 384 is 2^7 x 3.

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What is the difference between prime and composite numbers?

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Prime numbers have exactly two distinct positive divisors, while composite numbers have more than two.