Exploring Factors and Prime Numbers in Mathematics
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.
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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
