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To find the number of positive integers less than 900 with all odd digits, we consider the digits available: 1, 3, 5, 7, and 9. For a three-digit number, the first digit (hundreds place) can only be 1, 3, 5, 7, or 9 (5 options), while the tens and units places can also be any of the 5 odd digits (5 options each). Thus, there are (5 \times 5 \times 5 = 125) three-digit numbers. For two-digit numbers, the first digit can again be any of the 5 odd digits, and the second digit can also be any of the 5 odd digits, giving (5 \times 5 = 25). Finally, for one-digit numbers, there are 5 options (1, 3, 5, 7, 9). Adding these together gives (125 + 25 + 5 = 155) positive integers less than 900 with all odd digits.
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How many positive integers less than 1000 are 6 times the sum of their digits?
There is only 1, the number 54.
How many positive integers ar equal to 12 times the sum of their digits?
There are none.
How many positive integers are less then 50?
49
How many positive integers less than 1000 are not divisible by 3?
666 integers.
How many positive integers less than 2010 have an odd number of factors?
There are 44 positive integers less than 2,010 that have an odd number of factors.
How many positive integers less than 1000 have no odd decimal digits?
52
How many positive integers less than 1000 have distinct digits?
10*9*8=720
How many positive integers less than 100 have the sum of their digits equal to a perfect square?
There are 20.
How many positive integers less than 1000 are 6 times the sum of their digits?
There is only 1, the number 54.
How many positive integers less than 1000 are there such that the digits are not strictly increasing order from left to right?
There are 870 such numbers.
How many positive odd integers less than 10000 can be written using the digits 3 4 6 8 and 0?
125
How many 3 digit positive integers have 5 as the product of their digits?
Three of them.
How many positive integers have equally many digits in the decimal representation of their square and their cube?
3
How many positive integers less than 100 can be written using the digits 6 7 8 9?
20. 16 without repeating a digit.
How many positive integers ar equal to 12 times the sum of their digits?
There are none.
How many positive integers are less then 50?
49
How many positive integers less than 1000 are not divisible by 3?
666 integers.
