The prime factorization of 36 written in exponential notation is: 22 x 32
Use a factor tree. 36 18,2 9,2,2 3,3,2,2
The prime factorization of 1296 is 2^4 x 3^4. That makes the square root 2^2 x 3^2 or 36, -36
Prime factorization is the finding which prime number multiply to get to make the original number. Factors of 75: 1, 3, 5, 15, 25, 75 Prime factors: 3, 5 3 x 5 x 5 = 75
A fun way to figure out the number of factors, other than listing them all, is to use something called the TAU function. Take a number, such as 36 and write it in its prime factorization So 36=32 x 22 and 48=24 x 3 Now Tau(36) (which we say as Tau of 36) is the number of positive divisors of 36. Tau (48) is the number of positive divisors of 48. We compute Tau by looking at the exponents, 2 and 2 in the prime factorization and addiing 1 to each then multiplying. Don't worry about the base, ONLY the exponents! So Tau(36)=(2+1)(2+1)=9 Tau(48)=(4+1)(1+1)=10 which is greater than 9 so 48 has more factors. If you look at the links section with this question, I provided a webpage that helps a little more!
The prime factorization of 36 using exponents is 32x22.
36 = 22 × 32
36 = 22*32.
22 x 32
The prime factorization of 36 with exponents is 22 x 32
22 x 32 = 36
It is written as: 22 x 32
The prime factorization of 576 is: 26 x 32 = 576
As a product of its prime factors in exponents: 22*32 = 36
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
PF of 36 with exponents = 22 x 32
As a product of its prime factors in exponents: 22*38 = 26244