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

Three of them.


What is the sum of all positive integers less than 100 that have the product of their digits equal to 4?

81


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 many three-digit positive integers have digits whose product is 24?

To find the number of three-digit positive integers with digits whose product is 24, we can break down 24 into its prime factors: 2 x 2 x 2 x 3. The possible combinations for the three digits are (2, 2, 6), (2, 3, 4), and (2, 4, 3). These can be arranged in 3! ways each, giving a total of 3 x 3! = 18 three-digit positive integers.


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

50%


How many positive integers less than 1000 have no odd decimal digits?

52


How many positive integers ar equal to 12 times the sum of their digits?

There are none.


What are the last two digits in the sum of factorials of the first 100 positive integers?

They are 13.


How many positive integers have equally many digits in the decimal representation of their square and their cube?

3


How many positive integers have exactly three digits?

Every number from 100 to 999 inclusive !


Find the sum of the digits in the smallest positive integers that is divisible by 2 and 4 and 6 and 10 and 12 and 14?

The sum of the digits is 6.