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What is the prime factorization of nine using exponents?
9 = 3 ^ 2, or three raised to the second power.
What is the prime factorization of 512 using exponents and power?
29 (or 2^9) = 512(If you cannot see that the 9 is a superscript due to the formatting of the new style pages, that is 2^9 power or 2x2x2x2x2x2x2x2x2.)
What is the prime factorization of 10800?
The prime factorization of 10,800 using exponents is 2^4 x 3^3 x 5^2 10800 / \ 108 x 100 / \ / \ 12*9 x 5*10 / \ \ \ /\ 6*2*9 x 5*5*2 /\ / \ \ \ \ 3*2*2*9 x 5x5x2 3x2x2x9x5x5x2
How do you determine the number of divisors using the prime factorization and its exponents?
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors. 72 = 23 x 32 4 x 3 = 12 72 has twelve factors. Square numbers can be tricky. The prime factorization of 9 should be written as 32, not 3 x 3. Adding 1 to the 2 gives you 3. 9 has three factors.
What is the greatest common factor of 27 and 117 using prime factorization?
it is 9.
