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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.
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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%
How many positive integers less than 100 have the sum of their digits equal to a perfect square?
There are 20.
What is a bijective numeration?
A bijective numeration is a numeral system which uses digits to establish a bijection between finite strings and the positive integers.
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 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.
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 7 digit positive integers are there such that the product of the individual digits of each number is equal to 10000?
To find the number of 7-digit positive integers where the product of the digits equals 10,000, we start by factoring 10,000 into its prime factors: (10,000 = 10^4 = (2 \cdot 5)^4 = 2^4 \cdot 5^4). The digits can only be from 1 to 9, so we can use digits like 1, 2, 4, 5, 8, etc., that can contribute to this product. Combinations of these digits that yield a product of 10,000 must be examined, but the key constraint is that the total number of digits must equal 7. This requires a systematic approach to explore all valid combinations of digits that meet these criteria, which can be complex and requires further analysis involving combinatorial counting and digital constraints. The exact count of such integers is not straightforward without deeper calculations and could vary significantly based on the digit choices made.
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.
