Question

Handa ka funda how many six digit numbers divisible by 3 can be formed

Answer 1

Answer:

150 numbers

Step-by-step explanation:

Lets see,

The least three digit natural number is 100.

100/6=16.667

Now, 16∗6=96 and 17∗6=102

Thus, the least 3-digit number divisible by 6 is 102.

The least 4-digit number is 1000.

1000/6=166.67

Now, 166∗6=996 and 167∗6=1002

So, the largest 3 digit number divisible by 6 is 996.

We know that the 3-digit numbers divisible by 6, form an Arithmetic Progression.

996=102+(n−1)6

n=150

An easier way would be: 166−16=150

There are 150 three-digit numbers divisible by 6