Exponent/ Prime Factorization Review

Front

What is a composite number?

Back

A composite number is a whole number greater than 1 that has more than two distinct positive divisors (factors). For example, 4, 6, and 8 are composite numbers.

Front

What is a prime number?

Back

A prime number is a whole number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

Front

What does it mean to write a number in exponential form?

Back

Writing a number in exponential form means expressing it as a base raised to an exponent, indicating how many times the base is multiplied by itself. For example, 3 x 3 x 3 can be written as 3^3.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, because 2 x 2 x 2 = 8.

Front

Which of the following is NOT a way to say 2^3?

Back

Two squared is NOT a way to say 2^3. The correct terms are Two to the power of three, Two cubed, and Two to the third power.

Front

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2^2 x 3, meaning 12 can be expressed as the product of the prime numbers 2 and 3.

Front

How do you express 4 x 4 x 4 in exponential form?

Back

4 x 4 x 4 can be expressed as 4^3.

Front

Is 34 a prime or composite number?

Back

34 is a composite number because it has divisors other than 1 and itself (1, 2, 17, 34).

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), while a composite number has more than two distinct positive divisors.

Front

What is the exponent in the expression 5^2?

Back

The exponent in the expression 5^2 is 2, indicating that 5 is multiplied by itself 2 times.