Q:
# What is a factor tree?

**A factor tree is a diagram that shows the breakdown of a number into its prime factors.** This diagram holds a pattern similar to a family tree, with a line between each factor and its factors.

A factor tree breaks a number into its prime numbers. Prime numbers are numbers above one that cannot be divided by any number besides one and itself while remaining a whole number.

The factor tree for 32 begins with 32 at the top. A line points down to 4 x 8 below the 32. A line then points down from the 4 to 2 x 2. A line points down from the 8 to 2 x 4 and below that, from the 4 to 2 x 2. Each of these sets of numbers breaks down to 2 x 2 x 2 x 2 x 2. Therefore, 32 can be factored to 2 x 2 x 2 x 2 x 2.

Seventy-five can be factored to 3 x 5 x 5. The number 220 can be factored to 2 x 2 x 5 x 11, and the number 1,084 can be factored to 2 x 2 x 271. The number 2,160 can be factored to 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5.

Learn more about Computer Programming-
Q:
## How do you find the greatest common factor?

A: To find the greatest common factor of two or more numbers, find the factors of each number, then circle the shared factors. Choose the greatest factor that... Full Answer >Filed Under: -
Q:
## How does one find the greatest common factor of two or more integers?

A: To find the greatest common factor of two or more integers, the common prime factors of each number are multiplied together. The result is the greatest com... Full Answer >Filed Under: -
Q:
## Is the main cause of gout diet or genetics?

A: While genetic factors make gout run in a number of families, the fact that obesity, high triglycerides and high cholesterol are primary causes of gout make... Full Answer >Filed Under: -
Q:
## What is a factor string?

A: A factor string is a whole number written as a multiplication problem with two or more factors other than one, according to the Southampton Public Schools.... Full Answer >Filed Under: