Exponents & Prime Factorization

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 5⁴, 4 is the exponent.

Front

What does 5⁴ equal?

Back

5⁴ equals 625.

Front

How do you express repeated multiplication using exponents?

Back

Repeated multiplication can be expressed using exponents. For example, 3 x 3 x 3 can be written as 3³.

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

How do you find the prime factorization of 48 using a factor tree?

Back

To find the prime factorization of 48, you can create a factor tree: 48 = 2 x 24, 24 = 2 x 12, 12 = 2 x 6, 6 = 2 x 3. Thus, 48 = 2⁴ x 3.

Front

What is the prime factorization of 80?

Back

The prime factorization of 80 is 2⁴ x 5.

Front

What is the base in an exponential expression?

Back

The base is the number that is being multiplied by itself. In 4², 4 is the base.

Front

What is the value of 3⁴?

Back

3⁴ equals 81.

Front

How do you convert a multiplication expression into an exponent?

Back

To convert a multiplication expression into an exponent, count the number of times the base is multiplied by itself. For example, 2 x 2 x 2 can be written as 2³.

Front

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

Back

A prime number has exactly two distinct positive divisors: 1 and itself. A composite number has more than two positive divisors.