# Finding Prime Factorization of number 1825

Prime Factorization Calculator makes it easy for you to find the prime factors of number 1825 i.e. 5, 73 with step by step explanation.

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## Prime Decomposition of 1825

Another popular method to find prime factorisation is known as prime decomposition and it includes the use of a factor tree. The factor tree diagram is an easy process to divide a number into its prime factors. To create a factor tree we have to break down the composite number into factors of the composite number till the numbers are prime.

There might be various methods to show the factor tree for any provided prime factorisation.

 1825 5 365 5 73 Explore more about Factor Tree of 1825 by accessing this link and make your calculations quick & fast by using our handy Factor Tree Calculator.

### Trial Division of 1825

One of the methods to check the Prime Factor of a number is trial division. Trial division consists of very easy and basic algorithms, though it is an extremely slow process. In this method, we have to check each number by dividing the composite number in question by the integer and deciding if, and how many times, the number can divide the number equally.

To get the prime factorisation of 1825, we have to start with dividing it by primes

1825 ÷ 365 = 5

365 ÷ 73 = 5

73 ÷ 1 = 73

So here he prime factorisation of 1825 = 5 x 5 x 73 = 52 x 731

We can check it in a prime factorisation calculator also. The algorithm used in the calculator and trial division may differ but the result is always the same.

### Prime Factorization Calculations

Here are examples of Prime Factorization calculations.

### FAQs on Prime Factorization of 1825

1. What is Prime Factorization of 1825?

Prime Factorization of 1825 expressed as the product of its prime numbers i.e. 5 x 5 x 73.

2. What are the Prime Factors of 1825?

Prime Factors of 1825 are 5, 73.

3. How to find Prime factorization of 1825 easily?

You can find Prime Factorization of number 1825 easily by taking the help of Prime Factorization Calculator on our page.