Given number is 8464
The factor tree of 8464 is as follows:
| 8464 | |||||||||||
| 2 | 4232 | ||||||||||
| 2 | 2116 | ||||||||||
| 2 | 1058 | ||||||||||
| 2 | 529 | ||||||||||
| 23 | 23 | ||||||||||
8464 = 2 x 4232
4232 = 2 x 2116
2116 = 2 x 1058
1058 = 2 x 529
529 = 23 x 23
If we write into multiples it would be 8464 x 2
On splitting 4232 further and writing it as multiples of numbers it would be 2116 x 2.
On splitting 2116 further and writing it as multiples of numbers it would be 1058 x 2.
On splitting 1058 further and writing it as multiples of numbers it would be 529 x 2.
On splitting 529 further and writing it as multiples of numbers it would be 23 x 23.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 8464. 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 8464. Let’s start with 2 x 2 x 2 x 2 x 23 x 23 as it results in 8464 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 8464 now and we can write as 2 x 2 x 2 x 2 x 23 x 23 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 23, 23 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 8464 ?
Answer: Prime Factors of 8464 are 2 x 2 x 2 x 2 x 23 x 23.
2. What are the Prime Factors of 8464 ?
Answer: Prime Factors of 8464 are 2 x 2 x 2 x 2 x 23 x 23.