Given number is 3472
The factor tree of 3472 is as follows:
| 3472 | |||||||||||
| 2 | 1736 | ||||||||||
| 2 | 868 | ||||||||||
| 2 | 434 | ||||||||||
| 2 | 217 | ||||||||||
| 7 | 31 | ||||||||||
3472 = 2 x 1736
1736 = 2 x 868
868 = 2 x 434
434 = 2 x 217
217 = 7 x 31
If we write into multiples it would be 3472 x 2
On splitting 1736 further and writing it as multiples of numbers it would be 868 x 2.
On splitting 868 further and writing it as multiples of numbers it would be 434 x 2.
On splitting 434 further and writing it as multiples of numbers it would be 217 x 2.
On splitting 217 further and writing it as multiples of numbers it would be 31 x 7.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 3472. 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 3472. Let’s start with 2 x 2 x 2 x 2 x 7 x 31 as it results in 3472 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 3472 now and we can write as 2 x 2 x 2 x 2 x 7 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 2, 7, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 3472 ?
Answer: Prime Factors of 3472 are 2 x 2 x 2 x 2 x 7 x 31.
2. What are the Prime Factors of 3472 ?
Answer: Prime Factors of 3472 are 2 x 2 x 2 x 2 x 7 x 31.