Square and Square Roots | Class 8 Maths | CBSE NCERT

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Dear Students, in this video we are going to study a very important topic Prime Factorisation Method from Chapter 6 Square and Square Roots from CBSE Class 8 Maths. Hope you find it helpful & interesting. Enjoy Learning!

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What are Square Numbers?
When a number is multiplied by itself, the resultant is called a ‘Square Number’.
In geometry, a square has all its sides equal. Therefore the area of the square is equal to the square of its side.

Properties of Square Numbers
Properties of square numbers are:
If a number has 0, 1, 4, 5, 6 or 9 in the unit’s place, then it may or may not be a square number. If a number has 2, 3, 7 or 8 in its units place then it is not a square number.
If a number has 1 or 9 in unit’s place, then it’s square ends in 1.
If a square number ends in 6, the number whose square it is will have either 4 or 6 in the unit’s place.

Prime Factorization
Prime factorization is a process of factoring a number in terms of prime numbers.
The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and so on. These prime numbers when multiplied with any natural numbers produce composite numbers.

What is Prime Factorization?
Prime factorization is defined as a way of finding the prime factors of a number, the prime numbers which can be multiplied together to get the original number. For example, the prime factors of 126 will be 2, 3 and 7 as 2 × 3 × 3 × 7 = 126 and 2, 3, 7 are prime numbers.

Prime Factors of a Number
Prime factors of a number are the set of prime numbers which when multiplied by together give the actual number. Also, we can say, the prime factors divide the number completely. It is similar to factoring a number and considering only the prime numbers among the factors. For example, the prime factors of 6 will be 2 and 3, the prime factors of 26 will be 13 and 2, etc.

Prime Factorization Methods
The most commonly used prime factorization methods are:
Division Method
Factor Tree Method

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