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 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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Is 1 a prime number, composite number, or neither?

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1 is neither a prime nor a composite number.

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What are the prime factors of 75?

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The prime factors of 75 are 5 and 3, expressed as 5² x 3.

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

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To find the prime factorization using a factor tree, divide the number into two factors repeatedly until all factors are prime.

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What is the prime factorization of 384?

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The prime factorization of 384 is 2⁷ x 3.

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List 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 is the prime factorization of 76?

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The prime factorization of 76 is 2² x 19.

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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 (1 and itself), while composite numbers have more than two.