Exponents & Prime Factorization Flashcard

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply a base number by itself. For example, in 2³, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is the prime factorization of a number?

Back

Prime factorization is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2² x 3.

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. For example, 2, 3, 5, and 7 are prime numbers.

Front

What is the value of 5⁰?

Back

The value of any non-zero number raised to the power of 0 is 1. Therefore, 5⁰ = 1.

Front

How do you multiply numbers with the same base?

Back

When multiplying numbers with the same base, you add the exponents. For example, a^m x aⁿ = a^m+n.

Front

What is the value of 3⁴?

Back

3⁴ = 3 x 3 x 3 x 3 = 81.

Front

What is the prime factorization of 30?

Back

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

Front

Which is greater: 2⁵ or 5²?

Back

2⁵ = 32 and 5² = 25, so 2⁵ is greater.

Front

What is the value of (-2)³?

Back

(-2)³ = -2 x -2 x -2 = -8.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors by dividing it into branches until all factors are prime.