Factor Tree of 3200

Given number is 3200
The factor tree of 3200 is as follows:

3200 = 2 x 1600

1600 = 2 x 800

800 = 2 x 400

400 = 2 x 200

200 = 2 x 100

100 = 2 x 50

50 = 2 x 25

25 = 5 x 5

If we write into multiples it would be 3200 x 2

On splitting 1600 further and writing it as multiples of numbers it would be 800 x 2.

On splitting 800 further and writing it as multiples of numbers it would be 400 x 2.

On splitting 400 further and writing it as multiples of numbers it would be 200 x 2.

On splitting 200 further and writing it as multiples of numbers it would be 100 x 2.

On splitting 100 further and writing it as multiples of numbers it would be 50 x 2.

On splitting 50 further and writing it as multiples of numbers it would be 25 x 2.

On splitting 25 further and writing it as multiples of numbers it would be 5 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 3300
• Factor Tree of 3400
• Factor Tree of 3500
• Factor Tree of 3600
• Factor Tree of 3700

Here we are providing different methods to find the factors of the number 3200. They are splitting numbers and prime factors.

Splitting Numbers

We can divide the number into either of its two factors. In other words, we are looking for the numbers that when multiplied together eqaul 3200. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 as it results in 3200 on multiplying. We will now find the factors or ancestors of split factors, just like in any family tree.

Prime Factors

Let’s take a look at 3200 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 5, 5 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 3200 ?

Answer: Prime Factors of 3200 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.

2. What are the Prime Factors of 3200 ?

Answer: Prime Factors of 3200 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.