Given number is 73304
The factor tree of 73304 is as follows:
| 73304 | ||||||||||||
| 2 | 36652 | |||||||||||
| 2 | 18326 | |||||||||||
| 2 | 9163 | |||||||||||
| 7 | 1309 | |||||||||||
| 7 | 187 | |||||||||||
| 11 | 17 | |||||||||||
73304 = 2 x 36652
36652 = 2 x 18326
18326 = 2 x 9163
9163 = 7 x 1309
1309 = 7 x 187
187 = 11 x 17
If we write into multiples it would be 73304 x 2
On splitting 36652 further and writing it as multiples of numbers it would be 18326 x 2.
On splitting 18326 further and writing it as multiples of numbers it would be 9163 x 2.
On splitting 9163 further and writing it as multiples of numbers it would be 1309 x 7.
On splitting 1309 further and writing it as multiples of numbers it would be 187 x 7.
On splitting 187 further and writing it as multiples of numbers it would be 17 x 11.
Here are examples of Factor tree calculations.
Here we are providing different methods to find the factors of the number 73304. 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 73304. Let’s start with 2 x 2 x 2 x 7 x 7 x 11 x 17 as it results in 73304 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 73304 now and we can write as 2 x 2 x 2 x 7 x 7 x 11 x 17 and place those factors on the tree. similarly to prime numbers obtained in the first step 2, 2, 2, 7, 7, 11, 17 obtained here are also prime numbers and we will end up these branches.
1. What is factor tree for 73304 ?
Answer: Prime Factors of 73304 are 2 x 2 x 2 x 7 x 7 x 11 x 17.
2. What are the Prime Factors of 73304 ?
Answer: Prime Factors of 73304 are 2 x 2 x 2 x 7 x 7 x 11 x 17.