Factors and Multiples : āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āφ⧰⧁ āϗ⧁āĻŖāĻŋāϤāĻ•


Factors and Multiples : āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āφ⧰⧁ āϗ⧁āĻŖāĻŋāϤāĻ•


Factors : āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•


• Factors are numbers that we multiply together to get a product. (āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āĻšā§ˆāϛ⧇ āĻāύ⧇ āϏāĻ‚āĻ–ā§āϝāĻž āϝāĻŋāĻŦā§‹ā§° āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ āĻāϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)


Example of 12 | ⧧⧍ ā§° āωāĻĻāĻžāĻšā§°āĻŖ



  • 1 × 12 = 12, 2 × 6 = 12, 3 × 4 = 12, Factors(āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•āϏāĻŽā§‚āĻš āĻšā§ˆāϛ⧇) of 12 are : 1, 2, 3, 4, 6, 12


Ex of 24 | ⧍ā§Ē ā§° āωāĻĻāĻžāĻšā§°āĻŖ : 1 × 24 = 24, 2 × 12 = 24, 3 × 8 = 24, 4 × 6 = 24


• Factors(āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•āϏāĻŽā§‚āĻš āĻšā§ˆāϛ⧇) of 24 are: 1, 2, 3, 4, 6, 8, 12, 24


GCF : Greatest Common Factor (āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•)


• The greatest common factor is the biggest factor common to both numbers. (GCF āĻšā§ˆāϛ⧇ āĻĻ⧁āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻžā§° āĻŽāĻžāϜāϤ āĻĨāĻ•āĻž āφāϟāĻžāχāϤāĻ•ā§ˆ āĻĄāĻžāϙ⧰ āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•āĨ¤) 


Example | āωāĻĻāĻžāĻšā§°āĻŖ


• Common factors of 12 and 24 are: 1, 2, 3, 4, 6, 12 (⧧⧍ āφ⧰⧁ ⧍ā§Ē ā§° āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ•āϏāĻŽā§‚āĻš: ā§§, ⧍, ā§Š, ā§Ē, ā§Ŧ, ⧧⧍) 


• The GCF of 12 and 24 is 12. (⧧⧍ āφ⧰⧁ ⧍ā§Ē ā§° GCF āĻšā§ˆāϛ⧇ ⧧⧍āĨ¤)


Multiples : āϗ⧁āĻŖāĻŋāϤāĻ•



  • Multiples are found by skip counting. (āϗ⧁āĻŖāĻŋāϤāĻ•āϏāĻŽā§‚āĻš skip counting āϕ⧰āĻŋ āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)

  • Multiples of 8 | ā§Ž ā§° āϗ⧁āĻŖāĻŋāϤāĻ• : 8, 16, 24, 32, 40, 48 ...

  • Multiples of 12 | ⧧⧍ ā§° āϗ⧁āĻŖāĻŋāϤāĻ• : 12, 24, 36, 48, 60 ...


LCM : Least Common Multiple (āϞāϘāĻŋāĻˇā§āĻ  āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāĻŋāϤāĻ•) : The least common multiple is the smallest multiple common to both numbers. (LCM āĻšā§ˆāϛ⧇ āĻĻ⧁āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻžā§° āĻŽāĻžāϜāϤ āĻĨāĻ•āĻž āφāϟāĻžāχāϤāĻ•ā§ˆ āϏ⧰⧁ āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāĻŋāϤāĻ•āĨ¤)


Ex | āωāĻĻāĻžāĻšā§°āĻŖ : Common multiples of 8 and 12 are: 24, 48 ... (ā§Ž āφ⧰⧁ ⧧⧍ ā§° āϏāĻžāϧāĻžā§°āĻŖ āϗ⧁āĻŖāĻŋāϤāĻ•āϏāĻŽā§‚āĻš: ⧍ā§Ē, ā§Ēā§Ž ...)


• The LCM of 8 and 12 is 24. (ā§Ž āφ⧰⧁ ⧧⧍ ā§° LCM āĻšā§ˆāϛ⧇ ⧍ā§ĒāĨ¤)


Difference Between Factors and Multiples (āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āφ⧰⧁ āϗ⧁āĻŖāĻŋāϤāϕ⧰ āĻĒāĻžā§°ā§āĻĨāĻ•ā§āϝ)



  • Factors are numbers multiplied to get a product.(āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āĻšā§ˆāϛ⧇ āĻāύ⧇ āϏāĻ‚āĻ–ā§āϝāĻž āϝāĻŋāĻŦā§‹ā§° āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ āĻāϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)

  • Multiples are found by skip counting. (āϗ⧁āĻŖāĻŋāϤāĻ•āϏāĻŽā§‚āĻš skip counting āϕ⧰āĻŋ āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)

  • Factors are limited. (āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āϏ⧀āĻŽāĻŋāϤāĨ¤)

  • Multiples are unlimited. (āϗ⧁āĻŖāĻŋāϤāĻ• āĻ…āϏ⧀āĻŽāĨ¤)