Factor Tree of 16464

Given number is 16464
The factor tree of 16464 is as follows:

16464 = 2 x 8232

8232 = 2 x 4116

4116 = 2 x 2058

2058 = 2 x 1029

1029 = 3 x 343

343 = 7 x 49

49 = 7 x 7

If we write into multiples it would be 16464 x 2

On splitting 8232 further and writing it as multiples of numbers it would be 4116 x 2.

On splitting 4116 further and writing it as multiples of numbers it would be 2058 x 2.

On splitting 2058 further and writing it as multiples of numbers it would be 1029 x 2.

On splitting 1029 further and writing it as multiples of numbers it would be 343 x 3.

On splitting 343 further and writing it as multiples of numbers it would be 49 x 7.

On splitting 49 further and writing it as multiples of numbers it would be 7 x 7.

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Here we are providing different methods to find the factors of the number 16464. 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 16464. Let’s start with 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 as it results in 16464 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 16464 now and we can write as 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 7, 7, 7 obtained here are also prime numbers and we will end up these branches.

1. What is factor tree for 16464 ?

Answer: Prime Factors of 16464 are 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7.

2. What are the Prime Factors of 16464 ?

Answer: Prime Factors of 16464 are 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7.