Factor Tree of 31200

Given number is 31200
The factor tree of 31200 is as follows:

31200 = 2 x 15600

15600 = 2 x 7800

7800 = 2 x 3900

3900 = 2 x 1950

1950 = 2 x 975

975 = 3 x 325

325 = 5 x 65

65 = 5 x 13

If we write into multiples it would be 31200 x 2

On splitting 15600 further and writing it as multiples of numbers it would be 7800 x 2.

On splitting 7800 further and writing it as multiples of numbers it would be 3900 x 2.

On splitting 3900 further and writing it as multiples of numbers it would be 1950 x 2.

On splitting 1950 further and writing it as multiples of numbers it would be 975 x 2.

On splitting 975 further and writing it as multiples of numbers it would be 325 x 3.

On splitting 325 further and writing it as multiples of numbers it would be 65 x 5.

On splitting 65 further and writing it as multiples of numbers it would be 13 x 5.

Here are examples of Factor tree calculations.

• Factor Tree of 32200
• Factor Tree of 33200
• Factor Tree of 34200
• Factor Tree of 35200
• Factor Tree of 36200

Here we are providing different methods to find the factors of the number 31200. 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 31200. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 as it results in 31200 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 31200 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 5, 5, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 31200 ?

Answer: Prime Factors of 31200 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13.

2. What are the Prime Factors of 31200 ?

Answer: Prime Factors of 31200 are 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13.