Factor Tree of 10464

Given number is 10464
The factor tree of 10464 is as follows:

10464 = 2 x 5232

5232 = 2 x 2616

2616 = 2 x 1308

1308 = 2 x 654

654 = 2 x 327

327 = 3 x 109

If we write into multiples it would be 10464 x 2

On splitting 5232 further and writing it as multiples of numbers it would be 2616 x 2.

On splitting 2616 further and writing it as multiples of numbers it would be 1308 x 2.

On splitting 1308 further and writing it as multiples of numbers it would be 654 x 2.

On splitting 654 further and writing it as multiples of numbers it would be 327 x 2.

On splitting 327 further and writing it as multiples of numbers it would be 109 x 3.

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Here we are providing different methods to find the factors of the number 10464. 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 10464. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 109 as it results in 10464 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 10464 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 109 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 109 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 10464 ?

Answer: Prime Factors of 10464 are 2 x 2 x 2 x 2 x 2 x 3 x 109.

2. What are the Prime Factors of 10464 ?

Answer: Prime Factors of 10464 are 2 x 2 x 2 x 2 x 2 x 3 x 109.