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Monday, January 25, 2010

Prime Factorisation (Continues...)

Textbook p9 #25:


Question:

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.)


1. 3^5 = 243

2. 7^2 X 11 = 154

3. 3^5 X 7^2 = 3402


Textbook p9 #26:


Question:

The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and 3 X 7^2 X 13^3 X 17 .

Write down 3 common factors of the numbers.


1st Number: 2x9x343x13 = 80262

2nd Number: 3x49x2197x17 = 5490303


The 3 common factors of the numbers are: 3,2 and 13.

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