Given number is 70304
The factor tree of 70304 is as follows:
| 70304 | |||||||||||||
| 2 | 35152 | ||||||||||||
| 2 | 17576 | ||||||||||||
| 2 | 8788 | ||||||||||||
| 2 | 4394 | ||||||||||||
| 2 | 2197 | ||||||||||||
| 13 | 169 | ||||||||||||
| 13 | 13 | ||||||||||||
70304 = 2 x 35152
35152 = 2 x 17576
17576 = 2 x 8788
8788 = 2 x 4394
4394 = 2 x 2197
2197 = 13 x 169
169 = 13 x 13
If we write into multiples it would be 70304 x 2
On splitting 35152 further and writing it as multiples of numbers it would be 17576 x 2.
On splitting 17576 further and writing it as multiples of numbers it would be 8788 x 2.
On splitting 8788 further and writing it as multiples of numbers it would be 4394 x 2.
On splitting 4394 further and writing it as multiples of numbers it would be 2197 x 2.
On splitting 2197 further and writing it as multiples of numbers it would be 169 x 13.
On splitting 169 further and writing it as multiples of numbers it would be 13 x 13.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 70304. 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 70304. Let’s start with 2 x 2 x 2 x 2 x 2 x 13 x 13 x 13 as it results in 70304 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 70304 now and we can write as 2 x 2 x 2 x 2 x 2 x 13 x 13 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 13, 13, 13 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 70304 ?
Answer: Prime Factors of 70304 are 2 x 2 x 2 x 2 x 2 x 13 x 13 x 13.
2. What are the Prime Factors of 70304 ?
Answer: Prime Factors of 70304 are 2 x 2 x 2 x 2 x 2 x 13 x 13 x 13.