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If you consider 1 and the Prime number itself as factors then: 2
If you do not consider 1 and the prime number as factors then: 0
A prime number is one that does not have any factors apart from 1 and itself.
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Which number has exactly 15 factors?
The number that has exactly 15 factors is 28. To determine the number of factors a number has, you can prime factorize the number and then add 1 to each exponent in the prime factorization and multiply these numbers together. In the case of 28, the prime factorization is 2^2 * 7^1, so the number of factors is (2+1) * (1+1) = 3 * 2 = 6. To have exactly 15 factors, the number needs to be a square of a prime number, so 28 = 2^2 * 7^1 fits this criteria.
How do you express a number as the product of powers of its prime factors?
You factor the number into prime factors, dividing each prime out.
Which is a prime number 33 43 63?
33 has the factors ,3, & '11' ; it is composite 43 has no factors ; it is a prime number 63 has the factors 3,7,9,21 ; it is composite.
Factors of each number that is prime?
Just two: 1 and the number itself.
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 properfactors, (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*3Subtract 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 these powers (for example, 2^2,3^1,5^1)Multiply these together (for example: 4*3*5 = 60; 60 is the smallest number with exactly 12 factors).
