Factor Tree of 10400

Given number is 10400
The factor tree of 10400 is as follows:

10400 = 2 x 5200

5200 = 2 x 2600

2600 = 2 x 1300

1300 = 2 x 650

650 = 2 x 325

325 = 5 x 65

65 = 5 x 13

If we write into multiples it would be 10400 x 2

On splitting 5200 further and writing it as multiples of numbers it would be 2600 x 2.

On splitting 2600 further and writing it as multiples of numbers it would be 1300 x 2.

On splitting 1300 further and writing it as multiples of numbers it would be 650 x 2.

On splitting 650 further and writing it as multiples of numbers it would be 325 x 2.

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 11400
• Factor Tree of 12400
• Factor Tree of 13400
• Factor Tree of 14400
• Factor Tree of 15400

Here we are providing different methods to find the factors of the number 10400. 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 10400. Let’s start with 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 as it results in 10400 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 10400 now and we can write as 2 x 2 x 2 x 2 x 2 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, 5, 5, 13 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 10400 ?

Answer: Prime Factors of 10400 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13.

2. What are the Prime Factors of 10400 ?

Answer: Prime Factors of 10400 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13.