# Numbers in General Form

The general form of a number is obtained by adding the product of the digits with their place values.

1. The General Form of a Two Digit Number Example  2. The General Form of a Three Digit Number Example  3. Forming Three-digit Numbers with given three-digits.

If we have a three digit number then we will always get the remainder zero if we rearrange the number in such a way that all the three numbers are different and if we add them all and then divide it by 37. The trick behind it:

Step 1: Let us take any three digit number , which can be written as .

Step 2: Rearrange the number in such a way that it forms two different numbers. One number can be which can be written as and other can be cab which can be written as .

Step 3: By adding all the three numbers i.e. cab we get Step 4: By dividing the number by 37 we will always get the remainder zero.

Example

Try for the number 397.

Solution:

• Given number is 397.
• By rearranging we will have two other numbers i.e. 973 and 739.
• Sum of all the three numbers is 397+ 973 + 739 = 2109.
• By dividing 2109 by 37 we get 57 i.e. 2109 37 = 57 and remainder will be zero.
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