Factors and Multiples : āĻā§āĻŖāύā§āϝāĻŧāĻ āĻā§°ā§ āĻā§āĻŖāĻŋāϤāĻ
Factors and Multiples : āĻā§āĻŖāύā§āϝāĻŧāĻ āĻā§°ā§ āĻā§āĻŖāĻŋāϤāĻ
Factors : āĻā§āĻŖāύā§āϝāĻŧāĻ
• Factors are numbers that we multiply together to get a product. (āĻā§āĻŖāύā§āϝāĻŧāĻ āĻšā§āĻā§ āĻāύ⧠āϏāĻāĻā§āϝāĻž āϝāĻŋāĻŦā§ā§° āĻā§āĻŖ āĻā§°āĻŋāϞ⧠āĻāĻāĻž āϏāĻāĻā§āϝāĻž āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)
Example of 12 | ⧧⧍ ā§° āĻāĻĻāĻžāĻšā§°āĻŖ
- 1 × 12 = 12, 2 × 6 = 12, 3 × 4 = 12, Factors(āĻā§āĻŖāύā§āϝāĻŧāĻāϏāĻŽā§āĻš āĻšā§āĻā§) of 12 are : 1, 2, 3, 4, 6, 12
Ex of 24 | ⧍ā§Ē ā§° āĻāĻĻāĻžāĻšā§°āĻŖ : 1 × 24 = 24, 2 × 12 = 24, 3 × 8 = 24, 4 × 6 = 24
• Factors(āĻā§āĻŖāύā§āϝāĻŧāĻāϏāĻŽā§āĻš āĻšā§āĻā§) of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
GCF : Greatest Common Factor (āϏ⧰ā§āĻŦāĻžāϧāĻŋāĻ āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāύā§āϝāĻŧāĻ)
• The greatest common factor is the biggest factor common to both numbers. (GCF āĻšā§āĻā§ āĻĻā§āĻāĻž āϏāĻāĻā§āϝāĻžā§° āĻŽāĻžāĻāϤ āĻĨāĻāĻž āĻāĻāĻžāĻāϤāĻā§ āĻĄāĻžāĻā§° āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāύā§āϝāĻŧāĻāĨ¤)
Example | āĻāĻĻāĻžāĻšā§°āĻŖ
• Common factors of 12 and 24 are: 1, 2, 3, 4, 6, 12 (⧧⧍ āĻ⧰⧠⧍ā§Ē ā§° āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāύā§āϝāĻŧāĻāϏāĻŽā§āĻš: ā§§, ⧍, ā§Š, ā§Ē, ā§Ŧ, ⧧⧍)
• The GCF of 12 and 24 is 12. (⧧⧍ āĻ⧰⧠⧍ā§Ē ā§° GCF āĻšā§āĻ⧠⧧⧍āĨ¤)
Multiples : āĻā§āĻŖāĻŋāϤāĻ
- Multiples are found by skip counting. (āĻā§āĻŖāĻŋāϤāĻāϏāĻŽā§āĻš skip counting āĻā§°āĻŋ āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)
- Multiples of 8 | ā§Ž ā§° āĻā§āĻŖāĻŋāϤāĻ : 8, 16, 24, 32, 40, 48 ...
- Multiples of 12 | ⧧⧍ ā§° āĻā§āĻŖāĻŋāϤāĻ : 12, 24, 36, 48, 60 ...
LCM : Least Common Multiple (āϞāĻāĻŋāώā§āĻ āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāĻŋāϤāĻ) : The least common multiple is the smallest multiple common to both numbers. (LCM āĻšā§āĻā§ āĻĻā§āĻāĻž āϏāĻāĻā§āϝāĻžā§° āĻŽāĻžāĻāϤ āĻĨāĻāĻž āĻāĻāĻžāĻāϤāĻā§ āϏ⧰⧠āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāĻŋāϤāĻāĨ¤)
Ex | āĻāĻĻāĻžāĻšā§°āĻŖ : Common multiples of 8 and 12 are: 24, 48 ... (ā§Ž āĻ⧰⧠⧧⧍ ā§° āϏāĻžāϧāĻžā§°āĻŖ āĻā§āĻŖāĻŋāϤāĻāϏāĻŽā§āĻš: ⧍ā§Ē, ā§Ēā§Ž ...)
• The LCM of 8 and 12 is 24. (ā§Ž āĻ⧰⧠⧧⧍ ā§° LCM āĻšā§āĻ⧠⧍ā§ĒāĨ¤)
Difference Between Factors and Multiples (āĻā§āĻŖāύā§āϝāĻŧāĻ āĻā§°ā§ āĻā§āĻŖāĻŋāϤāĻā§° āĻĒāĻžā§°ā§āĻĨāĻā§āϝ)
- Factors are numbers multiplied to get a product.(āĻā§āĻŖāύā§āϝāĻŧāĻ āĻšā§āĻā§ āĻāύ⧠āϏāĻāĻā§āϝāĻž āϝāĻŋāĻŦā§ā§° āĻā§āĻŖ āĻā§°āĻŋāϞ⧠āĻāĻāĻž āϏāĻāĻā§āϝāĻž āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)
- Multiples are found by skip counting. (āĻā§āĻŖāĻŋāϤāĻāϏāĻŽā§āĻš skip counting āĻā§°āĻŋ āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)
- Factors are limited. (āĻā§āĻŖāύā§āϝāĻŧāĻ āϏā§āĻŽāĻŋāϤāĨ¤)
- Multiples are unlimited. (āĻā§āĻŖāĻŋāϤāĻ āĻ āϏā§āĻŽāĨ¤)