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Factor Tree of 148320

Created By : Bhagya
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Factor Tree of:

How to find the Factor Tree of 148320

Given number is 148320
The factor tree of 148320 is as follows:


148320
274160
237080
218540
29270
24635
31545
3515
5103

148320 = 2 x 74160

74160 = 2 x 37080

37080 = 2 x 18540

18540 = 2 x 9270

9270 = 2 x 4635

4635 = 3 x 1545

1545 = 3 x 515

515 = 5 x 103

If we write into multiples it would be 148320 x 2

On splitting 74160 further and writing it as multiples of numbers it would be 37080 x 2.

On splitting 37080 further and writing it as multiples of numbers it would be 18540 x 2.

On splitting 18540 further and writing it as multiples of numbers it would be 9270 x 2.

On splitting 9270 further and writing it as multiples of numbers it would be 4635 x 2.

On splitting 4635 further and writing it as multiples of numbers it would be 1545 x 3.

On splitting 1545 further and writing it as multiples of numbers it would be 515 x 3.

On splitting 515 further and writing it as multiples of numbers it would be 103 x 5.

Factor Tree Calculations

Ways to Find Factors of 148320

Here we are providing different methods to find the factors of the number 148320. 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 148320. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 103 as it results in 148320 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 148320 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 103 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 5, 103 obtained here are also prime numbers and we will end up these branches.

FAQ on 148320 Factor Tree

1. What is factor tree for 148320 ?

Answer: Prime Factors of 148320 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 103.

2. What are the Prime Factors of 148320 ?

Answer: Prime Factors of 148320 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 103.