Solve divisibility

Number Theory Level 2

How many 3-digit positive integers are divisible by 5?


The answer is 180.

Khushi Jain by Khushi Jain , 20, India

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2 solutions

Zee Ell
Nov 4, 2016

There are 999 - 99 = 900 positive 3-digit integers.

Hence, the number of positive 3-digit integers, which are divisible by 5 is:

900 ÷ 5 = 180 900 ÷ 5 = \boxed {180}

(Since we've got a whole number as a result (no remainders), we don't have to check the first and the last few values separately.)

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Khushi Jain
Nov 3, 2016

In all, highest 3-digit no. is 999 and highest 3-digit no. divisible by 5=995.. 995 5 \frac{995}{5} =199... so, the correct ans. is 199

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also you can say [999/5] = 199.

Md Zuhair - 4 years, 7 months ago

I thought 199, but it says its 180...?

Joe Freeman - 4 years, 7 months ago

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Let me check out,

Md Zuhair - 4 years, 7 months ago

Yes they are correct, you must exclude the 2 digit an 1 digit nos na... isnt it? So 180 is correct :D

Md Zuhair - 4 years, 7 months ago

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