prime factorization

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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 are prime numbers?

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Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

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How do you use a factor tree to find prime factorization?

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A factor tree is a diagram that breaks down a number into its prime factors by dividing it into pairs of factors until all factors are prime.

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What is the prime factorization of 72?

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The prime factorization of 72 is 2 x 2 x 2 x 3 x 3.

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What is the prime factorization of 32?

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The prime factorization of 32 is 2 x 2 x 2 x 2 x 2.

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What is the prime factorization of 42?

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The prime factorization of 42 is 7 x 3 x 2.

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What is the prime factorization of 105?

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The prime factorization of 105 is 7 x 5 x 3.

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How can you verify the prime factorization of a number?

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You can verify the prime factorization by multiplying the prime factors together to see if you get the original number.

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What is the prime factorization of 8?

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The prime factorization of 8 is 2 x 2 x 2.

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What is the significance of prime factorization in mathematics?

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Prime factorization is significant because it helps in simplifying fractions, finding the greatest common divisor (GCD), and least common multiple (LCM).