Factors and Prime Numbers in Mathematics
Investigating
Investigating
Factors of numbers
Factors of numbers
Investigate 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
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 themselves
The first fifteen Prime numbers are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Prime 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) 16
1 x 10
2 x 5
Prime factors of 10
are 2 and 5
16
1 x 16
2 x 8
`Prime factor of 16 is 2
10
4 x 4
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 below
•
Divide this again by the next prime factor
•
Keep going until your final answer is 1
•
All the factors used multiply together to give the original number
e.g2 Write the following as a product of their prime factors
(i) 10
(ii) 16
(iii) 65
2
10 = 2 x 5
5
5
16
2
8
2
4
1
2
2
2
16 = 2 x 2 x 2 x 2
65
5
13
13
1
65= 5 x 13
Delve into the concept of factors and prime numbers through an investigation of various numerical values. Understand the distinction between prime numbers and composite numbers, identify prime factors of a number, and explore the significance of prime numbers in mathematics.
Uploaded on Dec 17, 2024 | 1 Views
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Presentation Transcript
Investigating Factors of numbers
Investigate the factors of the following numbers 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 20
Prime No. Factors No. Factors Prime 1 1, 11 Yes No 1 11 1, 2 1, 2, 3, 4, 6, 12 No Yes 2 12 Prime numbers are numbers that have exactly two different factors ( no more / no less) Yes 1, 13 1, 3 Yes 3 13 1, 2,7, 14 1, 2, 4 No No 4 14 1, 5 Yes 1, 3, 5, 15 No 5 15 1, 2, 4,8,16 1, 2, 3, 6 They have 1 and themselves No No 6 16 1, 7 Yes Yes 1, 17 7 17 1, 2, 4, 8 1, 2, 3, 6, 9, 18 No No 8 18 Yes 1, 3, 9 No 1, 19 9 19 No 1, 2, 4, 5, 10, 20 1, 2, 5, 10 No 10 20 Prime numbers are numbers that have exactly two different factors ( no more / no less) They have 1 and themselves
The first fifteen Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 Prime 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) 16 10 `Prime factor of 16 is 2 Prime factors of 10 are 2 and 5 16 1 x 16 2 x 8 4 x 4 1 x 10 2 x 5
