Find total number of distinct primes in the prime factorization of number 27300
Apart from this post. We have already solved many of the questions related to prime factorization. But here in this post we will not only find the prime factor of 27300 but also know what is distinct prime?
So before we start calculation of prime factors of 27300 l. Let's understand the concept of distinct prime.
What is distinct prime factor in simple words?
As we know prime factors is the multiple of that number which we have to extract prime factors. In more simple world a prime factor is the multiple of the given number. Even each factors are the multiple of given number.
Suppose we have a given number 'X'. Now let's suppose the prime factor of number 'X' is 1,2,3,4,5, and 6.
Now, the distinct prime is the collection of all the numbers which is a multiple of given number but each are different-different value.
Means a distinct prime factor is a collection of those numbers which are not repeating.
Find total number of distinct primes in the prime factorization of number 27300?
From simple method
First of all let's find the prime factor of 27300.
2 |27300
2 |13650
3 |6825
5 |2275
5 |455
5| 91
Hence, the prime factor of 27300 is 2 × 2 × 3 × 5 × 5 × 5 × 91
Therefore, the distinct prime of 27300 will be 2 × 2 × 3 × 5 × 5 × 5 × 91.