Given number is 149472
The factor tree of 149472 is as follows:
| 149472 | ||||||||||||||
| 2 | 74736 | |||||||||||||
| 2 | 37368 | |||||||||||||
| 2 | 18684 | |||||||||||||
| 2 | 9342 | |||||||||||||
| 2 | 4671 | |||||||||||||
| 3 | 1557 | |||||||||||||
| 3 | 519 | |||||||||||||
| 3 | 173 | |||||||||||||
149472 = 2 x 74736
74736 = 2 x 37368
37368 = 2 x 18684
18684 = 2 x 9342
9342 = 2 x 4671
4671 = 3 x 1557
1557 = 3 x 519
519 = 3 x 173
If we write into multiples it would be 149472 x 2
On splitting 74736 further and writing it as multiples of numbers it would be 37368 x 2.
On splitting 37368 further and writing it as multiples of numbers it would be 18684 x 2.
On splitting 18684 further and writing it as multiples of numbers it would be 9342 x 2.
On splitting 9342 further and writing it as multiples of numbers it would be 4671 x 2.
On splitting 4671 further and writing it as multiples of numbers it would be 1557 x 3.
On splitting 1557 further and writing it as multiples of numbers it would be 519 x 3.
On splitting 519 further and writing it as multiples of numbers it would be 173 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 149472. 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 149472. Let’s start with 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 173 as it results in 149472 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 149472 now and we can write as 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 173 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 3, 3, 3, 173 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 149472 ?
Answer: Prime Factors of 149472 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 173.
2. What are the Prime Factors of 149472 ?
Answer: Prime Factors of 149472 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 173.