Given number is 408
The factor tree of 408 is as follows:
408 | ||||||||||
2 | 204 | |||||||||
2 | 102 | |||||||||
2 | 51 | |||||||||
3 | 17 | |||||||||
408 = 2 x 204
204 = 2 x 102
102 = 2 x 51
51 = 3 x 17
If we write into multiples it would be 408 x 2
On splitting 204 further and writing it as multiples of numbers it would be 102 x 2.
On splitting 102 further and writing it as multiples of numbers it would be 51 x 2.
On splitting 51 further and writing it as multiples of numbers it would be 17 x 3.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 408. 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 408. Let’s start with 2 x 2 x 2 x 3 x 17 as it results in 408 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 408 now and we can write as 2 x 2 x 2 x 3 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 408 ?
Answer: Prime Factors of 408 are 2 x 2 x 2 x 3 x 17.
2. What are the Prime Factors of 408 ?
Answer: Prime Factors of 408 are 2 x 2 x 2 x 3 x 17.