Prime Factorization

Front

What is prime factorization?

Back

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

Front

What are prime numbers?

Back

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

Front

What is a composite number?

Back

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

Front

What is an exponent in mathematics?

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An exponent is a number that indicates how many times the base is multiplied by itself.

Front

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

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

Front

What is the prime factorization of 48?

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

Front

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 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, and solving problems involving multiples.

Front

Can a prime number be even? If so, which one?

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Yes, the only even prime number is 2.

Front

What is the difference between a prime number and a composite number?

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A prime number has exactly two distinct positive divisors (1 and itself), while a composite number has more than two positive divisors.