Factor Tree of 13464

Given number is 13464
The factor tree of 13464 is as follows:

13464 = 2 x 6732

6732 = 2 x 3366

3366 = 2 x 1683

1683 = 3 x 561

561 = 3 x 187

187 = 11 x 17

If we write into multiples it would be 13464 x 2

On splitting 6732 further and writing it as multiples of numbers it would be 3366 x 2.

On splitting 3366 further and writing it as multiples of numbers it would be 1683 x 2.

On splitting 1683 further and writing it as multiples of numbers it would be 561 x 3.

On splitting 561 further and writing it as multiples of numbers it would be 187 x 3.

On splitting 187 further and writing it as multiples of numbers it would be 17 x 11.

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Here we are providing different methods to find the factors of the number 13464. 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 13464. Let’s start with 2 x 2 x 2 x 3 x 3 x 11 x 17 as it results in 13464 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 13464 now and we can write as 2 x 2 x 2 x 3 x 3 x 11 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 11, 17 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 13464 ?

Answer: Prime Factors of 13464 are 2 x 2 x 2 x 3 x 3 x 11 x 17.

2. What are the Prime Factors of 13464 ?

Answer: Prime Factors of 13464 are 2 x 2 x 2 x 3 x 3 x 11 x 17.