Question

Find the smallest 6 digit number which is exactly divisible by 37

Answer 1

777777 is the no. which is divided by 37

Answer 2

Answer:

The smallest 6-digit number divisible by 37 is 100032

Step-by-step explanation:

The smallest 6 digit number is 100000

Now, to check whether it is divisible by 37 or not

Divide the 6 digit number in group of 3

⇒ 100, 000

Add up these groups : 100 + 000

= 100 + 0

= 100

But 100 is not divisible by 37

The smallest 3 digit number divisible by 37 is 132

⇒ 132 - 100 = 32

So, add 32 in 100000 to obtain the smallest 6 digit number divisible by 37

⇒ 100000 + 32 = 100032

Verification : divide this into groups of 3

⇒ 100, 032

Add these two groups : 100 + 032

⇒ 100 + 32 = 132 and now this is divisible by 37

Hence , The smallest 6-digit number divisible by 37 is 100032