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What is the smallest number with exactly 12 factors?
The smallest positive integer with exactly 12 factors is 60.You may check to see that 60 has exactly twelve factors, by noting the following:60 = 1 X 60 = 2 X 30 = 3 x 20 = 4 X 15 = 5 x 12 = 6 x 10. The factors that are less than 8 are 1, 2, 3, 4, 5, and 6; the factors that are more than 8 are obtained by dividing the six factors already found into 60.Any number less than 60 must have six numbers less than 8 that divide into it, in order to have exactly twelve divisors. In fact, the requirement is more stringent than that: for a number (n, say) to have exactly twelve divisors, six of them must be less than the square-root of n. That you won't be able to find any is borne out by the fact that the least common multiple of any 6 of the first seven integers must be at least as great as the l. c. m. of the first six positive integers, namely 60.
What is the least number that should be subtracted from 832 to make it exactly divisible by 49?
The answer is 48illustration:833 is a multiple of 49 which is more than 832the multiple which is immediately less than 833 is 784so the difference that must be subtracted is 832- 784 = 48
What is a number greater than 60 but less than 100 the number is a multiple of 4 and 6 but not a multiple of 8?
84
Six times a number less 5 is less than two times a number plus 7 For what number or numbers is this true?
Any number less than 3.
A number less than zero?
any negative number is less than zero
What is your number your number is a multiple of 5 and less than 50 your number is a multiple of 3 your number has exactly 8 factors?
It is 30.
What number has exactly 8 factors is a multiple of 5 less than 50 and is divisible by 3?
30
What is your number your number is a multiple of 5 and is less than 50 your number is between a pair of twin primes your number has exactly 8 factors?
It's a multiple of 5, a multiple of 6 (since it's between twin primes), and less than 50. The only possibility is 30. To check: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
What is a number that is less than 3 and has three factors?
The smallest number that has exactly three factors is 4.
What number is less than 30 and has exactly 8 factors?
24
What whole number less than 100 have exactly 3 factors?
The square of any prime number has exactly three factors: 22, 32, 52, etc.
What are all the numbers less than 100 with exactly 3 factors that are prime?
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
What odd number is less than 40 and has exactly three prime factors?
27
What is a odd number that is less then 160 and has exactly 3 different prime factors?
105
What number is less than 40 and has exactly three factors?
4, 9, 25
What number has exactly 3 factors and is greater than 40 and less than 60?
49 has exactly 3 factors (1, 7, and 49) and is greater than 40 and less than 60.
What is the least natural number that has exactly 4 distinct odd factors?
3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.
