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What is the least positive integer that has exactly thirteen distinct factors?
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∙ 13y ago
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Rishipoddar, are you sure? Can you list the 13 factors that you are using? Interpreting "exactly 13 factors" to mean that the factors are unique, the number has to be the product of 1 and the first 11 prime numbers starting with 2, unless I am making a serious error. The product of these 12 factors is then the 13th factor. I calculate 200560490130. The factors are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 and the number itself, the product of the previous 12 factors.
The number you offer uses 2 as a factor ten times (2 to the 10th power), 3 as a factor 5 times (3 to the 5th power), and 5 as a factor 2 times (5 squared). Then the numbers 7, 11 and 13 are each used once. If that is allowed, then the actual answer is 1 (one), simply the use of 1 as a factor 13 times. Or if 1 is not allowed, then the answer could be 2 to the power 13: 8192. It is possible that I do not understand the question.
I vote for 212 =4096 , factors are 1,2,4,8,16,32,64,128,256,512,1024,2048,and 4096.
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∙ 13y ago
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If X is positive is X prime A X3 has exactly four distinct positive integer factors B X2-X-6 0?
If I'm reading the question correctly, X = 6 (not a prime number). 3X = 18, and its four factors are 1, 2, 3 and 9
If told that 'q' 'p' and 'r' are distinct primes and that there exists 'n' such that 'n equals p x q x r' How many positive factors of 'n' are there and How do you determine what they are?
If p, q and r are distinct primes and n=pxqxr then n will have 8 factors, all of which will be positive since prime numbers are all positive, which are: n(pqr), pq, pr, qr, p, q, r and 1. Here there were 3 distinct primes so the number of positive factors is 2^3. In general if you had p distinct primes then you would have 2^p positive factors.
How many distinct factors?
There can be infinitely many distinct factors.
How many positive integers less than 100 have exactly 4 factors?
32
Which numbers less than 100 have exactly 12 distinct factors?
24edit: nonethe smallest number with 12 distinct factors would be2*3*5*7*11*13*17*19*23*29*31*37>>100
What is the least positive integer that has exactly thirteen factors?
It is 4096.
What is the third smallest natural number that has exactly four distinct positive factors?
3
What is the sum of the two smallest whole numbers that each has exactly three distinct positive factors?
4 and 9
What is the student reference book grade 5 definition of Prime Numbers?
A positive integer with exactly two distinct factors.
How many natural numbers less than 1000 have exactly three distinct positive integer divisors?
Prime squares have three factors. There are 11 of them in that range.
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.
What is the sum of all the distinct positive prime factors of 99?
156
What is the positive difference between the number of distinct prime factors of 15 2 and the number of distinct prime factors of 64 3?
The difference is one.
If X is positive is X prime A X3 has exactly four distinct positive integer factors B X2-X-6 0?
If I'm reading the question correctly, X = 6 (not a prime number). 3X = 18, and its four factors are 1, 2, 3 and 9
If told that 'q' 'p' and 'r' are distinct primes and that there exists 'n' such that 'n equals p x q x r' How many positive factors of 'n' are there and How do you determine what they are?
If p, q and r are distinct primes and n=pxqxr then n will have 8 factors, all of which will be positive since prime numbers are all positive, which are: n(pqr), pq, pr, qr, p, q, r and 1. Here there were 3 distinct primes so the number of positive factors is 2^3. In general if you had p distinct primes then you would have 2^p positive factors.
Has exactly two factors?
A number that has exactly two (positive) factors is called a prime number. For instance, the only factors of 7 are 1 and 7.
What numbers have exactly thirteen factors?
Prime numbers to the 12th power, like 4096 or 531441.
