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Understanding the Composite Properties of 24: Factors, Multiples, and GCF/LCM Relationships

In this overview, we explore the composite number 24, highlighting its significance and mathematical properties. With 24 hours in a day, it stands as an essential number. Notably, 24 is even and has factors such as 1, 2, 3, 4, 6, 8, 12, and 24, with prime factorization revealing its composition. We also delve into its multiples, including the first ten: 24, 48, 72, and more. Additionally, we calculate the Greatest Common Factor (GCF) and Lowest Common Multiple (LCM) of 24 with various numbers, illustrating its role in foundational mathematics.

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Understanding the Composite Properties of 24: Factors, Multiples, and GCF/LCM Relationships

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  1. 24, A composite number. By Matteo Briscoe I chose 24 because there are 24 hours in a day. Also it’s after 23 and before 25. 24 is not a prime number. And is not an odd number, but it is an even number.

  2. Factors of 24 1,2,3,4,6,8,12,24 Factor Pairs 1*24, 2* 12, 3* 8, 4* 6

  3. Prime Factorization 24 ^ is divisible by 6 * 4 ^ ^ 3 * 2 2 * 2

  4. Multiples of 24 The first 10 multiples of 24 are 24, 48, 72, 96, 120, 144, 168, 192, 216 and 240. 24*1 is 24, 24*2 is 48, 24*3 is 72, 24*4 is 96, 24*5 is 120, 24*6 is 144, 24*7 is 168, 24*8 is 192, 24*9 is 216 and 24*10 is 240

  5. The GCF of 24 and the other numbers. 6| 24 36 2| 4 6 6*2 = 12 GCF 2 3 4 | 24 16 2 | 6 4 4*2 = 8 GCF 3 2 6 | 24 48 2 | 4 8 6*2 = 12 GCF 2 4 2 | 24 18 3 | 12 9 2*3 = 6 GCF 4 3

  6. The LCM of 24 and the other numbers. 6| 24 36 2| 4 6 6*2*2*3 = 72 LCM 2 3 4 | 24 16 2 | 6 4 4*3*2*2 = 48 LCM 3 2 6 | 24 48 2 | 4 8 6*2*2*4 = 96 LCM 2 4 2 | 24 18 3 | 12 9 2*3*3*4 = 72 GCF 4 3

  7. 24 is a factor of these numbers: 48 (24*2), 72 (24*3), 96 (24*4), 120 (24*5), 144 (24*6), 168 (24*7), 192 (24*8), 216 (24*9), and 240 (24*10)

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