factors and multiples

WALT: I am learning to identify factors and multiples

I had to find the factors of a range of numbers.




12 = 3, 6, 12, 1, 2, 4




24 = 12, 6, 3, 2, 8, 1,




36 = 6, 9, 4, 1, 36




50 = 10, 5, 50, 1, 25, 2




45 = 9, 5, 1, 45




20 = 10, 2, 5, 4, 1, 20




75 = 5, 15, 1, 75




100 = 10, 1, 100




150 = 10, 15, 1, 150





Then I listed the multiples of the following numbers, I went up to 10x




5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50




6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60




7 = 7, 14, 21, 28, 32, 42, 49, 56, 63, 70, 77, 84




8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96




3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36



15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225





The lowest common multiple (LCM) of 2 or more numbers is the smallest number that is a multiple of each of them. E.g. the lowest common multiple of 3 and 2 is 6. (they both also go into 30, but 6 is the smallest number they both go into).




I found the LCM of:




6 and 4 = 12




7 and 8 = 56




9 and 12 = 108




The highest common factor (HCF) is the highest number that can be divided exactly into each of two or more numbers.




For example, the common factors of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. So the highest common factor (H.C.F) of 24 and 36 = 12




I found he HCF of:




30 and 25 =5




14 and 21 = 7




56 and 49 =7




12 and 24 =12