Factor Trees

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 factor?

Back

A factor is a number that divides another number without leaving a remainder.

Front

List the factors of 36.

Back

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Front

What is the prime factorization of 25?

Back

The prime factorization of 25 is 5 x 5 or 5^2.

Front

How do you determine if a number is a factor of another number?

Back

To determine if a number is a factor of another number, divide the larger number by the smaller number. If the result is a whole number (no remainder), then it is a factor.

Front

What are the prime factors of 30?

Back

The prime factors of 30 are 2, 3, and 5.

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 positive divisors.

Front

What is a factor tree?

Back

A factor tree is a diagram that shows the prime factorization of a number by breaking it down into its prime factors.

Front

How can you use a factor tree to find the prime factors of 60?

Back

Start by dividing 60 by the smallest prime number (2), then continue dividing the resulting factors until all factors are prime.

Front

What are the factors of 12?

Back

The factors of 12 are 1, 2, 3, 4, 6, and 12.