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What is the sum of all the digits of all the positive integers that are less than 100?

The sum of all the digits of all the positive integers that are less than 100 is 4,950.


How do you get the integers that are divivible by 8?

Integers divisible by 8 have their last 3 digits divisible by 8. So: 2934829387957008 is divisible by 8 because the last three digits are divisible by 8 (008 / 8 = 1). 2348012934801298304400 is also (400 / 8 = 50). 123006 is not (006 / 8 = 0.75).


What is the smallest number divisible by 7 and 6 and has two odd digits?

336


What is the sum of positive six digit integers whose digits are a permutation of the digits in the number 123456?

279,999,720


What is the smallest 3 digit numbers with unique digits?

It is -987. The smallest positive 3-digit integer with unique digits is 102.


What is the smallest two digit number that is divisible by both the sum and the product of its digits?

12


What the smallest 3-digits number that is exactly divisible by 4 as well as 6?

2


How many 3 digit positive integers have 5 as the product of their digits?

Three of them.


What percentage of the first 100 positive integers contains no even digits?

50%


The smallest positive two digit number?

0.1 is the smallest positive number with 2 digits and a decimal point. without a decimal point the smallest is 10.


What is the smallest 2-digit number that is divisible by both 7 and 5?

35 is the smallest number with ANY quantity of digits that qualifies.


What are all the positive integers divisible by 2 or 3?

Well, darling, the positive integers divisible by 2 are all the even numbers, and the ones divisible by 3 are those multiples of 3. So, to find the numbers divisible by either 2 or 3, you just need to combine these two sets. In other words, it's the set of all even numbers and multiples of 3. Voilà!