Question

How many 3 digit natural number are divisble by 6 ​

Answer 1

The three digit numbers divisible by 6 are 102,108,114,.......,996

We have

=a+(n−1)d

⇒996=102+(n−1)6

⇒n=150

There are 150 such numbers divisible by 6.

Answer 2

Answer:

Actually three digit natural numbers are from 100, 101,……999.

Use Arithmetic Progression(A.P) to find the three digit numbers that are divisible by 6.

So, 102, 108, 114,……..996.

It is like A.P. In this series a=102(First term), d=6(Difference). l= 996 (last term). n is the number of terms.

l =a +(n-1)d

996 = 102 + (n-1) 6

894/6 = n-1

149 + 1= n

n=150.

So 150 three digit numbers are divisible by 6.

Step-by-step explanation:

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