Prime Factor Form Worksheet

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Prime Factor Form
1 Suppose I have a pack of smarties which, after my best friend
Ludwig has sco ed most of them, contains only six smarties:
1 red smartie, 2 green smarties, and 3 blue smarties. Now it’s
my turn! There are several ways in which I can eat some (or
all, or possibly none) of the remaining smarties. For example,
I can eat the red smartie, no green smarties, and two blue
smarties. Or I can eat the red smartie, one green smartie, and
no blue smarties. (The order in which I eat the smarties is
not important.) In how many ways can I eat some (or all, or
possibly none) of the remaining six smarties?
1
2
3
× 3
× 5
2 The number 2250 is equal to 2
. How many factors
does it have? (Hint: This is just like question 1! But why?)
1
2
3
× 7
× 2
3 The number 1960 is equal to 5
. How many factors
does it have?
4 What if the pack of smarties contained 3 red smarties, 4 green
smarties, and 5 blue smarties?
5 What if it contained a red smarties, b green smarties, and c
blue smarties?
a
b
c
× 3
× 5
6 How many factors does the number 2
have?

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