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Factor Tree of 1365

Created By : Bhagya
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Factor Tree of:

How to find the Factor Tree of 1365

Given number is 1365
The factor tree of 1365 is as follows:


1365
3455
591
713
Factors of 1365

1365 = 3 x 455

455 = 5 x 91

91 = 7 x 13

If we write into multiples it would be 1365 x 3

On splitting 455 further and writing it as multiples of numbers it would be 91 x 5.

On splitting 91 further and writing it as multiples of numbers it would be 13 x 7.

Factor Tree Calculations

Ways to Find Factors of 1365

Here we are providing different methods to find the factors of the number 1365. 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 1365. Let’s start with 3 x 5 x 7 x 13 as it results in 1365 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 1365 now and we can write as 3 x 5 x 7 x 13 and place those factors on the tree. similarly to prime numbers obtained in the first step 3, 5, 7, 13 obtained here are also prime numbers and we will end up these branches.

FAQ on 1365 Factor Tree

1. What is factor tree for 1365 ?

Answer: Prime Factors of 1365 are 3 x 5 x 7 x 13.

2. What are the Prime Factors of 1365 ?

Answer: Prime Factors of 1365 are 3 x 5 x 7 x 13.