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:
## 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: -
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:
## What are all of the whole number factors of 64?

A: The number two is the only whole number factor of 64 because factors must be prime numbers, and all of the divisors of 64 except for the number one are div... 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: