Factor Tree of 378
How to find the Factor Tree of 378
Given number is 378
The factor tree of 378 is as follows:
| 378 | ||||||||||
| 2 | 189 | |||||||||
| 3 | 63 | |||||||||
| 3 | 21 | |||||||||
| 3 | 7 | |||||||||
378 = 2 x 189
189 = 3 x 63
63 = 3 x 21
21 = 3 x 7
If we write into multiples it would be 378 x 2
On splitting 189 further and writing it as multiples of numbers it would be 63 x 3.
On splitting 63 further and writing it as multiples of numbers it would be 21 x 3.
On splitting 21 further and writing it as multiples of numbers it would be 7 x 3.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 378
Here we are providing different methods to find the factors of the number 378. 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 378. Let’s start with 2 x 3 x 3 x 3 x 7 as it results in 378 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 378 now and we can write as 2 x 3 x 3 x 3 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 3, 3, 3, 7 obtained here are also prime numbers and we will end up these branches.
FAQ on 378 Factor Tree
1. What is factor tree for 378 ?
Answer: Prime Factors of 378 are 2 x 3 x 3 x 3 x 7.
2. What are the Prime Factors of 378 ?
Answer: Prime Factors of 378 are 2 x 3 x 3 x 3 x 7.