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# Someone help me with divisibility!

For a range of 1 to 500 (inclusive), how many numbers are there divisible by 2 or 3 or 5 or 4...........(6 will be included! :D ).........how to do that? and what if there are more numbers than four?

Note by Asif Hasan
2 years, 6 months ago

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Just use the inclusion-exclusion principle: https://en.wikipedia.org/wiki/Inclusion%E2%80%93exclusion_principle

- 2 years, 5 months ago

All nos. ending with 0, 2, 4, 6, 8 are divisible by 2..so there are 20 no,from 1 to 500. Nos ending with 0 or 5 are divisible by 5 . U may use A P for finding the nos. 3, 6,9,.......498 is an A P. u can find no. of terms . First term is 3, last is 498 and d=3

- 2 years, 5 months ago

Wait. How are there 20 even numbers between 1 to 500?

- 2 years, 5 months ago

typo error..actually 250..

- 2 years, 5 months ago

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