Given number is 4464
The factor tree of 4464 is as follows:
| 4464 | ||||||||||||
| 2 | 2232 | |||||||||||
| 2 | 1116 | |||||||||||
| 2 | 558 | |||||||||||
| 2 | 279 | |||||||||||
| 3 | 93 | |||||||||||
| 3 | 31 | |||||||||||
4464 = 2 x 2232
2232 = 2 x 1116
1116 = 2 x 558
558 = 2 x 279
279 = 3 x 93
93 = 3 x 31
If we write into multiples it would be 4464 x 2
On splitting 2232 further and writing it as multiples of numbers it would be 1116 x 2.
On splitting 1116 further and writing it as multiples of numbers it would be 558 x 2.
On splitting 558 further and writing it as multiples of numbers it would be 279 x 2.
On splitting 279 further and writing it as multiples of numbers it would be 93 x 3.
On splitting 93 further and writing it as multiples of numbers it would be 31 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 4464. 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 4464. Let’s start with 2 x 2 x 2 x 2 x 3 x 3 x 31 as it results in 4464 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 4464 now and we can write as 2 x 2 x 2 x 2 x 3 x 3 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 3, 3, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 4464 ?
Answer: Prime Factors of 4464 are 2 x 2 x 2 x 2 x 3 x 3 x 31.
2. What are the Prime Factors of 4464 ?
Answer: Prime Factors of 4464 are 2 x 2 x 2 x 2 x 3 x 3 x 31.