It is 53 = 125
112 = 121
22 x 52 x 13
if asking what I think... What does "Find the prime factorization of the number. Use exponents when possible." mean? First find the prime factors. Express the number as the product of only prime numbers. For example, 835210 after you find the answer it would be 2 x 5 x 17 x 17 x 17 x 17 and it would be easier to write 2 x 5 x 17 with the little 4 next to the 17: 835210 = 2 x 5 x 174
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.
It is 53 = 125
You cannot use exponents for this problem. 7x4x2yes you can it is 7x23
121 = 112
(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
22 x 23 = 92
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
The prime factorization of 33 is: 3 x 11No exponents are necessary in this case.
Find the prime factorization of the number 32 use exponents when possible
Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.
For convenience. Sometimes larger numbers have a lot of repeated factors.