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Revision: Number System >> Playing with Numbers Maths ICSE ICSE Class 6 CISCE

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Definitions [11]

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: 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: Even and Odd

Even Number: A number ending in 0, 2, 4, 6, or 8 is an even number.

Odd Number: A number ending in 1, 3, 5, 7, or 9 is an odd number.

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.

Rule

If the sum of the digits in a number is divisible by 3, then the number is divisible by 3.

Rule

A number is divisible by 6 if it is divisible by both 2 and 3.

Rule

A number is divisible by 9 if the sum of all its digits is also divisible by 9.

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 11 if the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) is either 0 or a multiple of 11.

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