of numbers I nvestigate the factors of the following numbers Prime numbers are numbers that have exactly two different factors no more no less They have 1 and themselves No Factors Prime ID: 372861
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Slide1
Investigating Factors
of
numbersSlide2
I
nvestigate the factors of the following numbers
Prime numbers are numbers that have exactly two different factors ( no more / no less) They have 1 and themselves
No.
Factors
Prime
No.
Factors
Prime
1
11
2
12
3
13
4
14
5
15
6
16
7
17
8
18
9
19
10
20Slide3
No.
Factors
No.
Factors
1112123134145156167178189191020
1
1, 2
1, 3
1, 2, 4
1, 5
1, 2, 3, 6
1, 7
1, 2, 4, 8
1, 3, 9
1, 2, 5, 10
1, 11
1, 2, 3, 4, 6, 12
1, 2,7, 14
1, 13
1, 3, 5, 15
1, 2, 4,8,16
1, 17
1, 2, 3, 6, 9, 18
1, 19
1, 2, 4, 5, 10, 20
No
Yes
No
No
No
No
No
No
No
No
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Prime
Prime
Prime numbers are numbers that have exactly two different factors
( no more / no less)
They have 1 and themselves
Prime numbers are numbers that have exactly two different factors
( no more / no less) They have 1 and themselvesSlide4
The first fifteen Prime numbers are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47Prime factors of a number
Find the factors of a number and say which are prime
e.g1 Find the prime factors of(
i) 10 and (ii) 161 x 10 2 x 5Prime factors of 10 are 2 and 5161 x 16 2 x 8`Prime factor of 16 is 210 4 x 4Slide5
10
1
Writing a number as a product of Prime factors
Divide the number by one of its prime factors
(generally start with the smallest)Write the answer belowDivide this again by the next prime factorKeep going until your final answer is 1All the factors used multiply together to give the original numbere.g2 Write the following as a product of their prime factors(i) 10 (ii) 16 (iii) 652 10 = 2 x 5 55 162 82 4 12
2
2
16 = 2 x 2 x 2 x 2
65
5
13
13
1
65= 5 x 13