Download Problem 1.1

August 13, 2015
Problem 1.1
Focus Question: How can you find
all the factors (or divisors) of a
number?
Vocabulary to consider:
1. Divisor - a number that divides a given
number leaving a remainder of zero
2. Factor - one of two or more whole
numbers that are multiplied to get a product
3. Proper Factors - all the factors of a
number, except the number itself
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August 13, 2015
Problem 1.1 Notes
1. Identify a divisor of 20 and explain WHY it is a divisor of 20:
4; the quotient of 20 and 4 equals 5 with a remainder of zero
Identify 2 factors of 52 and explain WHY they are factors of 52:
2 and 26; the product of 2 and 26 equals 52
Identify the proper factors 16:
1, 2, 4 and 8
Launch-
What factors can you multiply to get a product of 10?
1, 2, 5 and 10
What numbers divide 10 evenly? 1, 2, 5 and 10
How are these two lists related? the same
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August 13, 2015
The Factor Game
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August 13, 2015
Play the Factor Game several times with a partner.
A
1. How can you determine whether one number is a factor of
another number? You test the number by dividing it into the
original number. If there is a whole number answer, then the
number is a factor of the original number.
2. If you know a factor of a number, can you find another factor?
Explain. You divide the known factor into the original number.
The quotient is another factor of the number.
3. Make a list of the factors of 18. Then make a list of the
divisors of 18. Are the factors of a number also divisors of the
number? Explain your reasoning.
Factors: 1, 2, 3, 6, 9 and 18
Divisors: 1, 2, 3, 6, 9 and 18
They are the same. In each case, you can find a whole number
that you can multiply by the factor or divisor and get the product
18
B
Give an example of a number that has many factors. Then give
an example of a number that has few factors.
Many: 24; 1, 2, 3, 4, 6, 8, 12 and 24
Few: 7; 1 and 7
C How do you know when you have found all of the factors of a
number?
You know that you have found all of the factors of a number when
there are no numbers left that are less than the original number
and that divide evenly into the original number.
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August 13, 2015
In your classwork section:
Complete problems #1-7
Answer all questions in complete
sentences!!!
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