prime factorization

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What is prime factorization?

Back

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

Front

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

Back

To find the prime factorization using a factor tree, divide the number into its factors, and continue breaking down the factors until all resulting factors are prime.

Front

What is the prime factorization of 32?

Back

The prime factorization of 32 is 2 x 2 x 2 x 2 x 2 (or 2^5).

Front

What is the prime factorization of 72?

Back

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 (or 2^3 x 3^2).

Front

What is the prime factorization of 60?

Back

The prime factorization of 60 is 5 x 3 x 2 x 2 (or 5 x 3 x 2^2).

Front

Is the number 5 prime or composite?

Back

5 is a prime number.

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What defines a prime number?

Back

A prime number is defined as a number that has exactly two distinct positive factors: 1 and itself.

Front

What is a composite number?

Back

A composite number is a positive integer that has at least one positive divisor other than one or itself, meaning it has more than two factors.

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Can a prime number be even?

Back

Yes, the only even prime number is 2.

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What is the prime factorization of 1?

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1 does not have a prime factorization because it is not considered a prime or composite number.