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Published on September 24th, 2011 In category Division and Multiplication tricks | Education | Maths

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Finding factors easily using number 9

While appearing for the competitive exams there is always a need to find the factors of the number. Here we are going to learn how to use the number 9 for the finding the factors of a number. I will explain with example.

a. First the simple one: Suppose we need to find the factor of number 44.

Step 1. – Multiply the digits before unit place by 9 ( In our example we will multiply by 4 x 9 = 36

Step 2Then add the unit digit with the digits in front of unit digits  ( In our example = 4 + 4 )

Step 3 – So you will note  44  =  ( 4 x 9 ) + (4 + 4)

This will always be true for all the numbers

Lets take the 2nd Example for the 107

Step 1. – Multiply the digits before unit place by 9 ( In our example we will multiply by 10 x 9 = 90 )

Step 2 – Then add the unit digit with the digits in front of unit digits ( In our example = 10 + 7 =  17)

Step 3 – So you will note  107   =  ( 10 x 9 ) + (10 + 7)

Now you practice this concept with few example given over here

Question- 1

Find factors of 1236

Answer- 1
Multiply 123 x 9 = 1107, then add 123+ 6 = 129 so it can represented as (123 X 9) + (123+9) [/wpspoiler]

Question- 2

Find factors of  81

Answer- 2

Multiply 8 x 9 = 72 , then add 8 + 1 = 9 so it can represented as (8 X 9) + (8+1) [/wpspoiler]
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