Find the prime factorization of the number 32 use exponents when possible
The prime factorization of 42 does not use exponents: 2 x 3 x 7
99 = 32*1199 = 32*1199 = 32*1199 = 32*11
Precisely.
The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.
The prime factorization of 33 is: 3 x 11No exponents are necessary in this case.
You cannot use exponents for this problem. 7x4x2yes you can it is 7x23
First you do the prime factorization without exponents. Then you use exponents to indicate repeated factors. For example, if a number has the prime factors 2 x 2 x 2 x 3 x 3 x 5, you write that as 23 x 32 x 5.
121 = 112
It is 53 = 125
When I use ^ that means to raise it up as an exponent.70=2x5x7The only exponents are to the first power and we usually don't write those.
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
112 = 121
21
42 and 48 2 x 3 x 7 = 42 24 x 3 = 48
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
For convenience. Sometimes larger numbers have a lot of repeated factors.