how to do prime factorization using exponents
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Question:I have an idea of the answers but I really need some help and just want to make sure they are right.
Answers:13 is a prime number, so just 13
32 = 2^5
198 = 2*11*(3^2)
Answers:57 = 3 x 19
There is only a single 3 and 19 factor, so you really don't need exponents, but technically it would be to the first power for each:
57 = 3^1 x 19^1
Think this is the LCM: 2X3X3X7
Not sure if this is the LCM: 2X2X3X3X3X3
hope this is the LCM:3X3X2X5X7
Think that the LCM is correct- LCM: 2X2X3X3X5
Answers:It's better if you write them in exponent form.
The general idea is that you take each prime to the highest power in the list and multiply them together. The result if the LCM.
42 = 2 * 3 * 7
126 = 2 * 3^2 * 7
LCM = 2 * 3^2 * 7
72 = 2^3 * 3^2
108 = 2^2 * 3^3
LCM = 2^3 * 3^3
54 = 2 * 3^3
210 = 2 * 3 * 5 * 7
LCM = 2 * 3^3 * 5 * 7
8 = 2^3
30 = 2* 3 * 5
45 = 3^2 * 5
LCM = 2^3 * 3^2 * 5
Hope you can learn from the above examples.
Prime Factorization :This tutorial demonstrates how to find the prime factorization of a number and put it into exponent form. This skill will be used to find Greatest Common Factor and Least Common Multiple later.
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