Given number is 6272
The factor tree of 6272 is as follows:
| 6272 | ||||||||||||||
| 2 | 3136 | |||||||||||||
| 2 | 1568 | |||||||||||||
| 2 | 784 | |||||||||||||
| 2 | 392 | |||||||||||||
| 2 | 196 | |||||||||||||
| 2 | 98 | |||||||||||||
| 2 | 49 | |||||||||||||
| 7 | 7 | |||||||||||||
6272 = 2 x 3136
3136 = 2 x 1568
1568 = 2 x 784
784 = 2 x 392
392 = 2 x 196
196 = 2 x 98
98 = 2 x 49
49 = 7 x 7
If we write into multiples it would be 6272 x 2
On splitting 3136 further and writing it as multiples of numbers it would be 1568 x 2.
On splitting 1568 further and writing it as multiples of numbers it would be 784 x 2.
On splitting 784 further and writing it as multiples of numbers it would be 392 x 2.
On splitting 392 further and writing it as multiples of numbers it would be 196 x 2.
On splitting 196 further and writing it as multiples of numbers it would be 98 x 2.
On splitting 98 further and writing it as multiples of numbers it would be 49 x 2.
On splitting 49 further and writing it as multiples of numbers it would be 7 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 6272. 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 6272. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 as it results in 6272 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 6272 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 7, 7 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 6272 ?
Answer: Prime Factors of 6272 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7.
2. What are the Prime Factors of 6272 ?
Answer: Prime Factors of 6272 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7.