Given number is 3712
The factor tree of 3712 is as follows:
| 3712 | |||||||||||||
| 2 | 1856 | ||||||||||||
| 2 | 928 | ||||||||||||
| 2 | 464 | ||||||||||||
| 2 | 232 | ||||||||||||
| 2 | 116 | ||||||||||||
| 2 | 58 | ||||||||||||
| 2 | 29 | ||||||||||||
3712 = 2 x 1856
1856 = 2 x 928
928 = 2 x 464
464 = 2 x 232
232 = 2 x 116
116 = 2 x 58
58 = 2 x 29
If we write into multiples it would be 3712 x 2
On splitting 1856 further and writing it as multiples of numbers it would be 928 x 2.
On splitting 928 further and writing it as multiples of numbers it would be 464 x 2.
On splitting 464 further and writing it as multiples of numbers it would be 232 x 2.
On splitting 232 further and writing it as multiples of numbers it would be 116 x 2.
On splitting 116 further and writing it as multiples of numbers it would be 58 x 2.
On splitting 58 further and writing it as multiples of numbers it would be 29 x 2.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3712. 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 3712. Let’s start with 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 as it results in 3712 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 3712 now and we can write as 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 2, 2, 2, 29 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3712 ?
Answer: Prime Factors of 3712 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29.
2. What are the Prime Factors of 3712 ?
Answer: Prime Factors of 3712 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29.