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 the prime factorization of 30?

Back

2 x 3 x 5

Front

How do you determine if a number is prime?

Back

A number is prime if it has exactly two distinct positive divisors: 1 and itself.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors.

Front

What is the prime factorization of 60?

Back

2^2 x 3 x 5

Front

What is the significance of the exponent in prime factorization?

Back

The exponent indicates how many times a prime factor is used in the multiplication.

Front

What is the prime factorization of 100?

Back

2^2 x 5^2

Front

What number is never allowed in a factor tree?

Back

1 is never allowed in a factor tree.

Front

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

Back

You repeatedly divide the number by its smallest prime factor until you reach 1.