## Wednesday, January 19, 2011

### Factors (lesson 1)

Watch the following videos and complete the task that follows.

Video 1 Prime Factorisation

Video 2: Index Notation

Find the prime factors of the following, where possible express your answers in index notation
(a) 1432
(b) 131
(c) 11760
(d) -48

1. Dear teacher I apologize for my absence the past few days. I was ill.
a) 2 to the power of 3 x 179
b) prime number
c) 2 to the power of 4 x 3 x 5 x 7 to the power of two
d) 2 to the power of 4 x -3

2. a) 2^3*179
b) 131
c) 2^4*7^2*5*3
d)2^4*-3

3. a) 2 to the power of 3 x 179
b) 131 is a prime number itself
c) 2 to the power of 4 x 3 x 5 x 7 to the power of 2
d) 2 to the power of 4 x negative 3/-3

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5. 1)2^3x179
2)131 is a prime by itself
3)2^4x3x5x7x7
4)2^4x-3

6. 1) 2 to the power of 3 x 179
2)131
3)2 to the power of 4 x 3 x 5 x 7 to the power of 2
4)2 to the power of 4 x -3

7. a)2 to the power of 3x179
b)131 is a prime number
c)2 to the power of 4x3x5x7 to the power of 2
d)2 to the power of 4x-3

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10. a)179*2^3
b)131^1
c)7^2*2^4*5*3
d)N/A

11. 1)2x2x2x179
2)131 is a prime number
3)2x2x2x2x3x5x7x7
4)Not applicable

12. A)2x2x2x179
B)131
C)2x2x2x2x3x5x7x7
D)Not applicable

13. 1) 2^3x179
2) 131 is a prime number
3) 2^4x3x5x7^2

14. a) 2 to the power of 3 times 179
b) 131 is a prime number
c)x2 to the power of 4 x3x5x7x7

15. 1)2 to the power of 3 times 179
2)131 is a prime number
3)2 to the power of 4 x 3 x 5 x 7 to the power of 2

16. 1)1432/2=716 716/2=358 358/2=179, so 2 to the power of 3x179.(2^3x179)
2)131 is a prime number by itself.
3)11760/2=5880 5880/2=2940 2940/2=1470 1470/2=735 735/5=147 147/3=49 49/7=7 7/1=1 So 2^4x5x3x7x1

17. 2 to the power of 3 x 179

131 is a prime No.

2 to the power of 4x3x5x7 to the power of 2

18. 2 is to the power of 3 * 179
131 is a prime number by itself
2^4*3*5*7^2
Not applicable

19. 1) 2 to the power of 3 x 179
2) 131
3) 2 to the power of 4 x 3 x 7 to the power of 2
4) not applicable

20. (a) 2^3 x 179
(b) 131 is a prime number
(c) 2^4 x 5 x 3 x 7^2
(d) There are no negative prime numbers.