Textbook p9 #25:
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.)
2x2x2x2=16
3x3x3x3x3=243
7x7=49
11=11
16x49=784 ( 1st factor )
49x11=539 ( 2nd Factor )
since 3x3x3x3x3=243 , it is the last factor. otherwise 243x11=2673 ( 3rd factor )
Textbook p9 #26:
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.
First Number:
2x(3x3)x(7x7x7)x13=80262
2|80262
3|40131
3|13377
7|4459
7|637
7|91
13|13
_1_
2nd number :
3x(7x7)x(13x13x13)x17=5490303
3 | 5490303 |
7 | 1830101 |
7 | 261443 |
13 | 37349 |
13 | 2873 |
13 | 221 |
17 | 17 |
| 1 |
the common factors are 3, 7 and 13.
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