How many numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333?

Solution:

The given number range is 111 and 100100100

Let's assume N = 100100100

Assuming these numbers are in base 10

3 numbers in each group of 1000 for 333.

100100 × 1000 = 100100000.

100100 groups of 1000 in 100100100.

We have 3 × 100100 = 300300 numbers that divide N by 333.

9 numbers in each group of 1000000 for 101010.

100×1000000 = 100000000.

100 groups of 1000000 in 100100100.

We have 9 × 100 = 900 numbers that divide N by 101010.

Total: 300300 + 900 = 301200

Therefore, there are 301200 numbers between 111 and 100100100 (inclusive) that are divisible by 555 or 333.

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How many numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333?

Summary:

301200 numbers between 111 and 100100100 (inclusive) are divisible by 555 or 333.