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121 = 112

Q: What is the prime factorization of 121 use exponents?

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It is 53 = 125

22 x 52 x 13

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.

2 x 2 x 2 x 3 x 3 x 3 = 216That can be shortened by the use of exponents.23 x 33 = 216

Exponents are used to replace repeated factors. Prime numbers won't use exponents because they don't have repeated factors. To express the prime factorization of a particular composite number using exponents, just count. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72

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121 = 112

You cannot use exponents for this problem. 7x4x2yes you can it is 7x23

It is 53 = 125

(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184

21

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.

For convenience. Sometimes larger numbers have a lot of repeated factors.

22 x 52 x 13

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.

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.

Use the following link for a Factor Calculator (w/ breakdown): http://www.classbrain.com/artteach/publish/article_48.shtml Answer: The factors of 121 are: 1 11 121 The prime factors are: 11 x 11