Monday, January 25, 2010

Txtbk Question (pg 9 ques #25 and #26)

The Prime factorisation of a number is 2^4 X 3^5 X 7^2 X 11.
Write down 3 factors of the number that are greater than 100.
(Hint: 16 X 11 = 176, which is a factor.)
answer: 144, 147 and 198
solution: there are a lot of answers for this question. I came out with these answers through multiplying the factors.
144 --> 2^4 x 3^2
147 --> 3 x 7^2
198 --> 11 x 3^2 x 2

The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and3 X 7^2 X 13^3 X 17 .
Write down 3 common factors of the numbers.

answer: 3, 7 and 13
solution: the common prime factors in both equations are 3, 7 and 13. since they are the same factor in different equation, the equation's answer will surely be able to be divided by the same factor.

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