Exponents and Prime Factorization

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is prime factorization?

Back

Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

Front

What is a prime number?

Back

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?

Back

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

Front

Is the number 1 prime, composite, or neither?

Back

The number 1 is neither prime nor composite.

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What is the prime factorization of 12?

Back

The prime factorization of 12 is 2^2 x 3.

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What is the prime factorization of 30?

Back

The prime factorization of 30 is 2 x 3 x 5.

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How do you determine if a number is prime?

Back

To determine if a number is prime, check if it has only two distinct positive divisors: 1 and itself.

Front

What is the prime factorization of 63?

Back

The prime factorization of 63 is 3^2 x 7.

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What is the prime factorization of 18?

Back

The prime factorization of 18 is 2 x 3^2.