Factor Tree of 1464
How to find the Factor Tree of 1464
Given number is 1464
The factor tree of 1464 is as follows:
| 1464 | ||||||||||
| 2 | 732 | |||||||||
| 2 | 366 | |||||||||
| 2 | 183 | |||||||||
| 3 | 61 | |||||||||
1464 = 2 x 732
732 = 2 x 366
366 = 2 x 183
183 = 3 x 61
If we write into multiples it would be 1464 x 2
On splitting 732 further and writing it as multiples of numbers it would be 366 x 2.
On splitting 366 further and writing it as multiples of numbers it would be 183 x 2.
On splitting 183 further and writing it as multiples of numbers it would be 61 x 3.
Factor Tree Calculations
Here are examples of Factor tree calculations.
Ways to Find Factors of 1464
Here we are providing different methods to find the factors of the number 1464. 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 1464. Let’s start with 2 x 2 x 2 x 3 x 61 as it results in 1464 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 1464 now and we can write as 2 x 2 x 2 x 3 x 61 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 3, 61 obtained here are also prime numbers and we will end up these branches.
FAQ on 1464 Factor Tree
1. What is factor tree for 1464 ?
Answer: Prime Factors of 1464 are 2 x 2 x 2 x 3 x 61.
2. What are the Prime Factors of 1464 ?
Answer: Prime Factors of 1464 are 2 x 2 x 2 x 3 x 61.