Practice Problems on Prime Factorization and Repeated Subtraction Method

What are Square Roots?

Square root of a number is a value that, when multiplied by itself, gives the original number. It is represented using the symbol ‘√’. The number under the square root symbol is called the radicand....

Square Root by Prime Factorization

Prime factorization is the process of finding the prime factors of a number, which are the prime numbers that multiply together to make the original number....

Square Root by Repeated Subtraction

The repeated subtraction method is an easier way that uses a special property of odd numbers. When you add up consecutive odd numbers, starting from 1, you always get a perfect square....

Conclusion

Next time you want to find a square root, think about what you need. If it’s a perfect square and you want a quick answer, try repeated subtraction. But if you also want to know about the prime factors and understand the number better, go for prime factorization. Both methods show how interesting numbers can be and how they work in different ways....

Solved Example on Prime Factorization and Repeated Subtraction Method

Example: Find the square root of 7056 using prime factorization....

Practice Problems on Prime Factorization and Repeated Subtraction Method

Problem 1: Find the square root of 81?...

FAQs on Prime Factorization and Repeated Subtraction Method

What is Prime Factorization?...