Prime Factorization and Repeated Subtraction Method
What is Prime Factorization?
Prime factorization is the process of breaking down a composite number into its prime factors. A prime factor is a prime number that divides the original number evenly.
What is the Repeated Subtraction Method?
The repeated subtraction method is a technique used to find the prime factors of a number. It involves continuously subtracting the smallest prime number that divides the given number until the result is 1. The prime factors are the numbers that are subtracted.
What are Prime Numbers?
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. Examples include 2, 3, 5, 7, 11, and so on.
Can All Numbers be Prime Factorized?
Yes, every composite number (a number greater than 1 that is not prime) can be expressed as a unique product of prime factors. This is known as the fundamental theorem of arithmetic.
Finding Square Root Through Prime Factorization and Repeated Subtraction
Square Root is the one of the many arithmetic operations in mathematics. Square root can be calculated using various methods in mathematics such as long division, prime factorization, repeated subtraction, etc. In this article, we will discuss methods of calculation of square root using prime factorization and repeated subtraction method.
Table of Content
- What are Square Roots?
- Square Root by Prime Factorization
- Square Root by Repeated Subtraction
- FAQs