What did you notice about the factors of 30? If a number is even, then


will always be a factor.


You can use your calculator to find out if smaller numbers like 3 and 4 are factors of larger numbers.


Try it to see if 3 and 4 are factors of these numbers.


Place a  or an  in each of the boxes to show whether or not they are factors.


Number


54 68 94 76 81


108


6. Now see if you can write the lists of factors of these numbers. Remember: there might be some factors you haven’t considered. Use your calculator to help you.


a) 28 e) 45


b) 36 f) 42


c) 40 g) 64


d) 38 h) 100


We can already see that every list of factors begins with 1. So 1 is a factor common to all products.


7. List the factors of 12 and 16. 12 = 1, 16 = 1,


, ,


, ,


, ,


,


Put a circle around all of the factors that appear on both lists in question 7. These are called common factors.


8. Do the same thing for the following pairs of products. Don’t forget to circle the factors they have in common.


a) 8 and 10 d) 16 and 24


b) 9 and 15 e) 9 and 18


c) 14 and 21 f) 20 and 40


Number Theory 1 31 3 4


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