You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
2^3 x 3 = 24
Sure thing, darling. The prime factorization of 55 is 5 x 11. If we want to use exponents, we can write it as 5^1 x 11^1. So there you have it, sweetie, prime factor of 55 using exponents in a nutshell.
To find the prime factorization of a number, it helps to divide it by any obvious factors. In this case, 156 is even so we can divide by 2. Do this and we get 78, which is also even. Divide by 2 again and we get 39, which is divisible by 3. Do that and we get 13 which is prime. Thus the prime factorization of 156 is 2x2x3x13. If we want to use exponents this can be written as 22x3x13
24 x 33 x 52 = 10800 22 x 33 x 54 = 67500 Select the lower exponents. 22 x 33 x 52 = 2700, the GCF
The prime factorization of 90 with exponents is: 2 x 32 x 5
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
112 = 121
As a product of its prime factors using exponents: 2^3 times 3 times 5 = 120
24*3
36 = 22 × 32
42=2^3*7
2^3 x 3 = 24
24 x 3 = 48
321 = 3*107
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.