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A three-digit integer has exactly three factors if it is the square of a Prime number. This is because the factors of ( p^2 ) (where ( p ) is a prime) are ( 1, p, ) and ( p^2 ). The three-digit squares of primes range from ( 11^2 = 121 ) to ( 31^2 = 961 ). The prime numbers in this range are 11, 13, 17, 19, 23, 29, and 31, totaling 7 three-digit integers that have exactly three factors.
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How many one digit integers are there?
There are 10 one digit positive integers (0 - 9) and 9 one digit negative integers (-9 to -1) making 19 in all.
How many 3 digit even numbers are there?
There are 450 even three-digit integers, from 100 to 998. This excludes numbers with leading zeroes (000 to 099).
How many 1-digit integers are there such that product of their two digit is 24?
-23
How many positive integers with exactly three decimal digit positive integers between 100 and 999 inclusive divisible by 7?
Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.
How many positive two-digit integers is the ones digit greater than twice the tens digit?
4
How many positive three-digit integers are divisible by neither 2 or 3?
the range of three-digit integers is from 100 to 999. Therefore, there are 300 positive three-digit integers that are divisible by neither 2 nor 3.1 day ago
How many positive three digit integers are multiples of 85?
10 of them.
How many 3 digit positive integers have 5 as the product of their digits?
Three of them.
How many three digit integers are exactly 17 more than a two digits integers?
17
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.
How many digit even numbers are there?
There are 450 even three-digit integers, from 100 to 998. This excludes numbers with leading zeroes (000 to 099).
How many three digit positive integers are square numbers?
102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.
How many one digit integers are there?
There are 10 one digit positive integers (0 - 9) and 9 one digit negative integers (-9 to -1) making 19 in all.
How many 3 digit even numbers are there?
There are 450 even three-digit integers, from 100 to 998. This excludes numbers with leading zeroes (000 to 099).
How many 1-digit integers are there such that product of their two digit is 24?
-23
How many three digit integers can be divided by 4 to produce a new integer with same ten digit and unit digit as original integer?
400/4= 100 and 800/4=200
How many positive integers with exactly three decimal digit positive integers between 100 and 999 inclusive divisible by 7?
Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.
