Factors of Cuboids and Non-Prime Factors
Discover the factors and non-prime factors of cuboids, along with possible combinations and visual representations. Explore how numbers like 8, 24, 36, and more have distinct factors and delve into numerical patterns.
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Presentation Transcript
Number of cubes Number of cuboids Number of cubes Number of cuboids Possible cuboids Possible cuboids 8 24 9 10 30 11 36 4 12 1 1 12, 1 2 6, 1 3 4, 2 2 3 13 48 14 15 60 16 17 18 72 19 20
Number of cubes Number of cuboids Number of cubes Number of cuboids Possible cuboids Possible cuboids 3 8 8 1 1, 4 2 1, 2 2 2 24 1 1, 12 2 1, 8 3 1, 6 4 1, 6 2 2, 4 3 2 6 24 2 9 9 1 1, 3 3 1 30 1 1, 15 2 1, 10 3 1 6 5 1, 5 3 2, 2 10 5 10 1 1, 5 2 1 30 1 11 11 1 1 36 1 1, 18 2 1, 12 3 1, 9 4 1 6 6 1, 9 2 2, 6 3 2, 4 3 3 8 36 4 12 1 1 12, 1 2 6, 1 3 4, 2 2 3 1 13 13 1 1 48 1 1, 24 2 1, 16 3 1, 12 4 1, 8 6 1, 12 2 2, 8 3 2, 6 4 2, 4 4 3 9 48 2 14 14 1 1, 7 2 1 2 15 15 1 1, 5 3 1 60 1 1, 30 2 1, 20 3 1, 15 4 1, 12 5 1, 10 6 1, 15 2 2, 10 3 2, 6 5 2, 5 4 3 10 60 4 16 16 1 1, 8 2 1, 4 4 1, 4 2 1 1 17 17 1 1 4 18 18 1 1, 9 2 1, 6 3 1, 3 3 2 72 1 1, 36 2 1, 24 3 1, 18 4 1, 12 6 1, 9 8 1, 18 2 2, 12 3 2, 9 4 2, 8 3 3, 6 6 2, 6 4 3 12 72 1 19 19 1 1 4 20 20 1 1, 10 2 1, 5 4 1, 5 2 2
12 has 4 factors that are not prime: Factors of 12: 1 1, 2, 3, 4 4, 6 6, 12 12 Number of non-prime factors Number of non-prime factors Number Factors Number Factors 8 24 9 10 30 11 36 1 1, 2, 3, 4 4, 6 6, 12 12 4 12 13 48 14 15 60 16 17 18 72 19 20
12 has 4 factors that are not prime: Factors of 12: 1 1, 2, 3, 4 4, 6 6, 12 12 Number of non-prime factors Number of non-prime factors Number Factors Number Factors 3 3 8 1 1, 2, 4 4, 8 8 6 24 1 1, 2, 3, 4 4, 6 6, 8 8, 12 12, 24 24 2 2 9 1 1, 3, 9 9 2 2 10 1 1, 2, 5 5, 10 10 5 30 1 1, 2, 3, 5, 6 6, 10 10, 15 15, 30 30 1 1 11 1 1, 11 7 36 1 1, 2, 3, 4 4, 6 6, 9 9, 12 12, 18 18, 36 36 1 1, 2, 3, 4 4, 6 6, 12 12 4 4 12 1 1 13 1 1, 13 8 48 1 1, 2, 3, 4 4, 6 6, 8 8, 12 12, 16 16, 24 24, 48 48 2 2 14 1 1, 2, 7, 14 14 2 2 15 1 1, 3, 5, 15 15 1 1, 2, 3, 4 4, 5, 6 6, 10 10, 12 30, 60 60 12, 15 15, 20 20, 9 60 4 4 16 1 1, 2, 4 4, 8 8, 16 16 30 1 1 17 1 1, 17 4 4 18 1 1, 2, 3, 6 6, 9 9, 18 18 1 1, 2, 3, 4 4, 6 6, 8 8, 9 9, 12 12, 18 72 72 18, 24 24, 36 36, 10 72 1 1 19 1 1, 19 4 4 20 1 1, 2, 4 4, 5, 10 10, 20 20
