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Revision: Mathematics >> Prime Time Maths Secondary School (English Medium) (5 to 8) Class 6 CBSE

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Definitions [11]

Definition: Multiple

A number is called a multiple of another if it is exactly divisible by that number, i.e., the division leaves no remainder.

Definition: Common Factor

A common factor of two or more numbers is a number that divides each of the given numbers exactly, without leaving any remainder.

Definition: Factor

A factor of a number is any number that divides the given number completely without leaving a remainder.

or

When two numbers are multiplied, the result is called their product, and the numbers that are multiplied are called factors of the product.

Definition: Composite numbers

Numbers having more than two factors are called composite numbers. 4, 6, 8, 9, 10, and so on are examples of composite numbers.

Definition: Twin Prime Numbers

If the difference between two coprime numbers is 2, the numbers are said to be twin prime numbers. For example: (3, 5)

Definition: Prime Numbers

A prime number is a natural number greater than 1 that has exactly two factors: 1 and the number itself. 
2, 3, 5, 7, 11, and so on are examples of prime numbers.

Co-prime numbers:
Two numbers with only 1 as a common factor are said to be co-prime, relatively prime, or mutually prime numbers. 
For example, 10 and 21 are co-primes.

Definition: Prime Factor

Prime factors of a number are the prime numbers that divide it exactly.

Rule

A number is divisible by 5 if the digit in its units (ones) place is either 0 or 5.

Rule

A number is divisible by 2 if it has any of the digits 0, 2, 4, 6, or 8 in its ones place.

Rule

A number is divisible by 4 if the last two digits of the given number are divisible by 4.

Note: If the last two digits of a number are “00”, then it is also divisible by 4.

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