Factor Tree of 420
How to find the Factor Tree of 420
Given number is 420
The factor tree of 420 is as follows:
| 420 | ||||||||||
| 2 | 210 | |||||||||
| 2 | 105 | |||||||||
| 3 | 35 | |||||||||
| 5 | 7 | |||||||||
420 = 2 x 210
210 = 2 x 105
105 = 3 x 35
35 = 5 x 7
If we write into multiples it would be 420 x 2
On splitting 210 further and writing it as multiples of numbers it would be 105 x 2.
On splitting 105 further and writing it as multiples of numbers it would be 35 x 3.
On splitting 35 further and writing it as multiples of numbers it would be 7 x 5.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 420
Here we are providing different methods to find the factors of the number 420. 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 420. Let’s start with 2 x 2 x 3 x 5 x 7 as it results in 420 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 420 now and we can write as 2 x 2 x 3 x 5 x 7 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 3, 5, 7 obtained here are also prime numbers and we will end up these branches.
FAQ on 420 Factor Tree
1. What is factor tree for 420 ?
Answer: Prime Factors of 420 are 2 x 2 x 3 x 5 x 7.
2. What are the Prime Factors of 420 ?
Answer: Prime Factors of 420 are 2 x 2 x 3 x 5 x 7.