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Homework 1: Factors, Area and Operations
Multiples:
We start by looking at a sequence formed by taking multiples of a particular number, for example:
7, 14, 21, 28, ...
These are all multiples of 7.
STANDARD QUESTIONS
1. On the number square shade all the multiples of 6
(a) What is the fourth multiple of 6?
(c) What is the twelfth multiple of 6?
(b) What is the eighth multiple of 6?
(d) What is the hundredth multiple of 6?
2. The number 24 is a multiple of 3 and a multiple of 12. What other numbers is it a multiple of?
3. Write down the first 8 multiples of 14.
4. Write down the first 8 multiples of 16.
5. Looking at your list of numbers what is the smallest multiple that appears in both lists?
6. What is the smallest multiple of both 15 and 20, i.e. what is the smallest number that would appear in
both lists?
ACCELERATED QUESTIONS
1. Two multiples have been shaded on this number
square. What is the number?
2. Two multiples have been shaded on this number
square. What is the number?
What is the 19th multiple of this number?
What is the 23rd multiple of this number?
2. Three multiples of a number are 34, 170 and 255. What is the number?
3. Three multiples of a number are 38, 95 and 133. What is the number?
4. Four multiples of a number are 49, 77, 133 and 203. What is the number?
5. A number is expressed a product of its prime factors
23  3  5 2
What is the number?
6. What is the smallest number that has four different prime factors?
CHALLENGE QUESTION
Write down two numbers, neither of which must end in 0 and which multiply together to give 1000.
Write down two numbers, neither of which must end in 0 and which multiply together to give 1000000.