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# Playing with Numbers worksheet for class 6

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## Symmetry worksheet for class 6 Important Topics

• Introduction
• Factors and Multiples
• Prime and Composite Numbers
• Tests for Divisibility of Numbers
• Common Factors and Common Multiples
• Some More Divisibility Rules
• Prime Factorisation
• Highest Common Factor
• Lowest Common Multiple
• Some Problems on HCF and LCM

## Some important Facts about Playing with Numbers worksheet for class 6

1.  We have discussed multiples, divisors, factors and have seen how to identify factors and multiples.
2. We have discussed and discovered the following :
1. A factor of a number is an exact divisor of that number.
2. Every number is a factor of itself. 1 is a factor of every number.
3. Every factor of a number is less than or equal to the given number.
4. Every number is a multiple of each of its factors.
5. Every multiple of a given number is greater than or equal to that number.
6. Every number is a multiple of itself.
3. We have learnt that –
1. The number other than 1, with only factors namely 1 and the number itself, is a prime number. Numbers that have more than two factors are called composite numbers. Number 1 is neither prime nor composite.
2. The number 2 is the smallest prime number and is even. Every prime number other than 2 is odd.
3. Two numbers with only 1 as a common factor are called co-prime numbers.
4. If a number is divisible by another number then it is divisible by each of the factors of that number.
5. A number divisible by two co-prime numbers is divisible by their product also.

## NCERT class 6  Mathematics Solved Worksheets

• Chapter 1 – Knowing Our Numbers
• Chapter 2 – Whole Numbers
• Chapter 3 – Playing with Numbers
• Chapter 4 – Basic Geometrical Ideas
• Chapter 5 – Understanding Elementary Shapes
• Chapter 6 – Integers
• Chapter 7 – Fractions
• Chapter 8 – Decimals
• Chapter 9 – Data Handling
• Chapter 10 – Mensuration
• Chapter 11 – Algebra
• Chapter 12 – Ratio and Proportion
• Chapter 13 – Symmetry
• Chapter 14 – Practical Geometry

## Lowest Common Multiple

What are the common multiples of 4 and 6? They are 12, 24, 36, … . Which is the lowest of these? It is 12. We say that lowest common multiple of 4 and 6 is 12. It is the smallest number that both the numbers are factors of this number. The Lowest Common Multiple (LCM) of two or more given numbers is the lowest (or smallest or least) of their common multiples. What will be the LCM of 8 and 12? 4 and 9? 6 and 9?

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