# Short Trick for Multiplication with 5, 25, 125, 625, 1325, 6625, 33125,...

**Tricks to Multiply any number by 5.**

Let us understand how it works by multiplying **67456 X 5**

**Step 1:** Join one 0(zero) at the end the number

**674560**

**Step 2:** Divide the number obtained in step 1 by 2.

674560 ÷ 2

= 337280 **(Answer)**

**Tricks to Multiply any number by 25.**

Let us understand how it works by multiplying **67456 X 25**

**Step 1:** Join one 0(zero) at the end the number

** 674560**

**Step 2:** Divide the number obtained in step 1 by 2.

674560 ÷ 2

= 337280

Repeat the steps again as 25 is 5 X 5.

**Step 3: **Join one 0(zero) at the end the number

** 3372800**

**Step 4:** Divide the number obtained in step 3 by 2.

** **3372800 ÷ 2

= 1686400 **(Answer)**

This method can used to Multiply any number with power of **5** i.e. **5, 25, 125, 625…… **

As the power increases the first 2 steps gets repeated as many times.

**Tricks to Multiply any number by 125.**

Let us understand how it works by multiplying **67456 X 125 **

The first 4 steps as used for multiplication with 25 remains same and as 25 X 5 = 125, so 2 more steps increase

**Step 5:** Join one 0(zero) at the end the number

** 16864000**

**Step 6:** Divide the number obtained in step 5 by 2.

** **16864000 ÷ 2

= 8432000 **(Answer)**

If it has to be multiplied with **625**, 2 more steps have to be repeated and it goes on.

This method is time efficient for multiplication with power of 5.

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