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# 11 Plus Factors

While calculating the Least common factor(LCM) and the Highest common factor, we need to list out all the factors of the numbers given. So it is compulsory to learn how to find the factors of the given numbers.

A number is said to be a factor of the second number if the first number divides the second number without leaving the remainder. In the case of the division with zero remainders, the divisor is a factor of dividend.

For example,

12 ÷ 4 = 3, remainder = 0

So, 4 is the factor of 12.

Properties related to factors:

1. ‘1’ is the factor of all positive numbers.
2. Every Number is a factor of itself.
3. Every factor should less than or equal to the Number.
4. The number of factors of any number is finite
5. Prime Number has only two factors.

Key points to remember:

• If the last digit of any number is 0 or 2 or 4 or 6 or 8, then the number is divisible by 2.
• A number is divisible by three if the sum of the digits in that number is divisible by 3.
• If the last two digits of any number are multiples of 4, then the number is divisible by 4
• If the last digit of any number is 0 or 5, then the number is divisible by 5.
• If any number is divisible by both 2 and 3, then the number is divisible by 6
• If the last three digits of any number are multiples of 8, then the number is divisible by 8
• A number is divisible by nine if the sum of the digits in that number is divisible by 9.
• If the last digit of any number is 0, then the number is divisible by 10.
• The Sum of even digits is subtracted from the sum of odd digits. If the result is ‘0’ or ‘11’, the number is divisible by 11.
• If any number is divisible by both 3 and 4, then the number is divisible by 12.

In 11 plus maths papers, maths topics like LCM and HCF are related to factors. So the practice of questions on the 11 plus factors topic is necessary.

Let us have some examples:

Example:1

Example:2

Example:3

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