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 =3,2,1,6,36,

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

45 = 5, 1, 45, 

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

75 = 5, 75, 1,

100 =10, 5, 2, 1, 100,

150 = 150, 50, 20, 5, 2,

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, 35, 42, 49, 56, 63, 70

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

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

15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150

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 = 12

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