Asked in Factoring and Multiples
Factoring and Multiples
What is the smallest number with 13 factors?
Asked in Numbers
What is the least positive integer that has exactly 13 factors?
4096 is the smallest number with exactly 13 factors. (Including 1 and itself as factors). 192 is the smallest number with exactly 13 proper factors, (excluding the number itself). 120 is the smallest number with at least 13 factors (it has 16 factors) To find the smallest number with exactly N factors (for example, N=12): Factor N into primes, (for example, 12= 2*2*3 Subtract 1 from each of the prime factors (for example, 1,1,2) Sort them by largest first (for example, 2,1,1) Raise successive prime numbers to...
Asked in Factoring and Multiples, Prime Numbers
What is the smallest number that has 4 different prime factors?
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210 ...
What is a number with exactly 13 factors?
4096 is the smallest one. Since the number of factors depends on the exponents of the prime factors, plus one, multiplied together, the set of numbers that meets the requirements are of the form: p12, where p is a prime number. ...
What is the smallest natural number that has exactly five factors?
Answer 16 is the smallest natural number that has exactly five factors; which are: 1, 2, 4, 8, and 16. Only squares have an odd number of factors. ...