Question

Decompose $32760$ into prime factor.

Answer 1

Hint: Here we have the example of how to find the prime factor for any given number. First of all start by dividing the given number. You have to divide the number with the first prime number that is $2.$ After that continue to divide the number by $2$ until we get any decimal or remember then further divide it by $3,5,7$ unit you have get the prime number following are the steps for decompose the given number into the prime factor.

Complete step-by-step solution:
As we have,
The number $32760$
In every number, it is the product for a unique set of a prime factor, suppose a group of prime numbers which is also (include repeats) that, when it multiplied with each other, it is equal to that number.
So,
We have to find those factor by the number which is given, i.e. $32760.$
Now by using process of decomposition we get,
$32760=2\times 2\times 2\times 3\times 3\times 5\times 7.$
Hence,

By using the method of decomposition we get $2,2,2,3,3,5,7$ as the prime factors.

Note: It can be found in the formula which is an alternative for solving the problem such as prime factorization. The process of decomposition is a very useful tool or a method for solving a differing value a digit in any number. As for better understanding. We take an example as the number $412$ is broken down into $400$ plus $2$ plus $2$ add by decomposing it into the hundred tens and ones. To decompose in any operation such as addition, subtraction and multiplication which means to take any number apart from a problem.