Given number is 78120
The factor tree of 78120 is as follows:
| 78120 | |||||||||||||
| 2 | 39060 | ||||||||||||
| 2 | 19530 | ||||||||||||
| 2 | 9765 | ||||||||||||
| 3 | 3255 | ||||||||||||
| 3 | 1085 | ||||||||||||
| 5 | 217 | ||||||||||||
| 7 | 31 | ||||||||||||
78120 = 2 x 39060
39060 = 2 x 19530
19530 = 2 x 9765
9765 = 3 x 3255
3255 = 3 x 1085
1085 = 5 x 217
217 = 7 x 31
If we write into multiples it would be 78120 x 2
On splitting 39060 further and writing it as multiples of numbers it would be 19530 x 2.
On splitting 19530 further and writing it as multiples of numbers it would be 9765 x 2.
On splitting 9765 further and writing it as multiples of numbers it would be 3255 x 3.
On splitting 3255 further and writing it as multiples of numbers it would be 1085 x 3.
On splitting 1085 further and writing it as multiples of numbers it would be 217 x 5.
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 78120. 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 78120. Let’s start with 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 as it results in 78120 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 78120 now and we can write as 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 3, 5, 7, 31 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 78120 ?
Answer: Prime Factors of 78120 are 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31.
2. What are the Prime Factors of 78120 ?
Answer: Prime Factors of 78120 are 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31.