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Factors
1X4 =4
How many rows of squares are there?
1
How many squares are there in each row? 4
Using multiplication sentence, how many
squares are there?
1 X 4 = 4 squares
1 row of 4 squares
Factors
1X4 =4
2X2 =4
How many rows of squares are there?
2
How many squares are there in each row? 2
Using multiplication sentence, how many
squares are there?
2 X 2 = 4 squares
2 rows of 2 squares
Factors
1X4 =4
2X2 =4
4X1 =4
How many rows of squares are there?
4
How many squares are there in each row? 1
Using multiplication sentence, how many
squares are there?
4 X 1 = 4 squares
4 rows of 1 square
Factors
1X4 =4
2X2 =4
4X1 =4
What are the numbers 1, 2, 4? Factors of 4
What is 4? Product
Factors
3X5
How many rows of squares are there?
= 15
3
How many squares are there in each row? 5
Using multiplication sentence, how many
squares are there?
3 X 5 = 15 squares
3 rows of 5 squares
Factors
3X5
= 15
5X3
= 15
How many rows of squares are there?
5
How many squares are there in each row? 3
Using multiplication sentence, how many
squares are there?
5 X 3 = 15 squares
5 rows of 3 squares
Factors
3X5
= 15
5 X 3 = 15
1 X 15 = 15
How many rows of squares are there?
1
How many squares are there in each row? 15
Using multiplication sentence, how many
squares are there?
1 X 15 = 15 squares
1 row of 15 squares
Factors
3X5
= 15
5 X 3 = 15
1 X 15 = 15
15 X 1 = 15
How many rows of squares are there?
15
How many squares are there in each row? 1
Using multiplication sentence, how many
squares are there?
15 X 1 = 15 squares
15 rows of 1 square
Factors
3X5
= 15
5 X 3 = 15
1 X 15 = 15
15 X 1 = 15
What are the numbers 1,3,5,15? Factors of 15
What is 15? Product
Factors
3X2
How many rows of squares are there?
=6
3
How many squares are there in each row? 2
Using multiplication sentence, how many
squares are there?
3 X 2 = 6 squares
3 rows of 2 squares
Factors
3X2
=6
2X3
=6
How many rows of squares are there?
2
How many squares are there in each row? 3
Using multiplication sentence, how many
squares are there?
2 X 3 = 6 squares
2 rows of 3 squares
Factors
3X2
=6
2X3
6X1
=6
=6
How many rows of squares are there?
6
How many squares are there in each row? 1
Using multiplication sentence, how many
squares are there?
6 X 1 = 6 squares
6 rows of 1 square
Factors
3X2
=6
2X3
6X1
1X6
=6
=6
=6
How many rows of squares are there?
1
How many squares are there in each row? 6
Using multiplication sentence, how many
squares are there?
1 X 6 = 6 squares
1 row of 6 squares
Factors
3X2
=6
2X3
6X1
1X6
=6
=6
=6
What are the numbers 1,2,3,6? Factors of 6
What is 6? Product
Factors
4X3
How many rows of squares are there?
= 12
4
How many squares are there in each row? 3
Using multiplication sentence, how many
squares are there?
4 X 3 = 12 squares
4 rows of 3 squares
Factors
4X3
= 12
3X4
= 12
How many rows of squares are there?
3
How many squares are there in each row? 4
Using multiplication sentence, how many
squares are there?
3 X 4 = 12 squares
3 rows of 4 squares
Factors
4X3
= 12
3X4
6X2
= 12
= 12
How many rows of squares are there?
6
How many squares are there in each row? 2
Using multiplication sentence, how many
squares are there?
6 X 2 = 12 squares
6 rows of 2 squares
Factors
4X3
= 12
3X4
6X2
2X6
= 12
= 12
= 12
How many rows of squares are there?
2
How many squares are there in each row? 6
Using multiplication sentence, how many
squares are there?
2 X 6 = 12 squares
2 rows of 6 squares
Factors
4X3
= 12
3X4
6X2
2X6
1 X 12
= 12
= 12
= 12
= 12
How many rows of squares are there? 1
How many squares are there in each row? 12
Using multiplication sentence, how many
squares are there?
1 X 12 = 12 squares
1 row of 12 squares
Factors
4X3
= 12
3X4
6X2
2X6
1 X 12
12 X 1
= 12
= 12
= 12
= 12
= 12
How many rows of squares are there?
12
How many squares are there in each row? 1
Using multiplication sentence, how many
squares are there?
12 X 1 = 12 squares
12 rows of 1 square
Factors
4X3
= 12
3X4
6X2
2X6
1 X 12
12 X 1
= 12
= 12
= 12
= 12
= 12
What are the numbers 1,2,3,4,6,12? Factors of 12
What is 12? Product
Factors
So, if I gave you a number and I asked
you for its factors, what must you do?
Think of all pairs of numbers whose
product is equal to the given number.
1X4 =4
3X2
=6
4X3
= 12
2X2 =4
2X3
=6
3X4
= 12
4X1 =4
6X1
=6
6X2
= 12
1X6
=6
2X6
= 12
1 X 12 = 12
12 X 1
= 12
Factors
1, 2, 4
are factors of 4
1, 3, 5, 15
are factors of 15
1, 2, 3, 6
are factors of 6
1, 2, 3, 4, 6, 12
are factors of 12
A number has at least two factors: 1 and the
and the number are factors of the number.
Note: 1number
itself.
Factors
of
a
number
are
not
bigger
than
the
What is the biggest factor of a number?
number.
The number itself.
Factors
1, 2, 4
are factors of 4
1, 3, 5, 15
are factors of 15
1, 2, 3, 6
are factors of 6
1, 2, 3, 4, 6, 12
are factors of 12
What are the common factors of 6 and 15?
1,2,3,6
3
1,3
What is second common factor of 6 and 15?
3
What are the common factors of 6 and 12?
What is third common factor of 6 and 12?
Factors
1, 2, 4
are factors of 4
1, 3, 5, 15
are factors of 15
1, 2, 3, 6
are factors of 6
1, 2, 3, 4, 6, 12
are factors of 12
How many factors does 4 have?
How many factors does 15 have?
How many factors does 12 have?
3
4
6
Factors
Can we use division to find the factors
of a given number?
Yes
How?
Think of a number. Use it as a divisor
of the given number. If the quotient
does not have a remainder, then the
divisor and the quotient are factors of
the given number.
Factors
1X6=6
Can 6 be divided exactly by 1?
Yes. So 1 is a factor of 6.
Can 6 be divided exactly by 6?
Yes. So 6 is also a factor of 6.
6 is a product of 1 and 6.
1 and 6 are factors of 6.
Factors
3X2=6
2X3=6
Can 6 be divided exactly by 2?
Yes. So 2 is a factor of 6.
Can 6 be divided exactly by 3?
Yes. So 3 is also a factor of 6.
Can 6 be divided exactly by 5?
No. So 5 is not a factor of 6.
Can 6 be divided exactly by 4?
No. So 4 is not a factor of 6
6 is a product of 2 and 3.
2 and 3 are factors of 6.
The factors of 6 are 1, 2, 3, and 6.
Factors
Is 3 a factor of 12?
4
3
12
-12
0
12 can be divided exactly by 3.
So 3 is a factor of 12.
Factors
Is 5 a factor of 16?
3
5
16
-15
1
16 cannot be divided exactly by 5.
So 5 is a not factor of 16.
Factors
Method in Getting the Factors of a Number
Going up
Going down
Divisor
Quotient
12 = 1, 2, 3, 4, 6, 12
3X4
2X6
Think of a number
that can exactly
divide 12 without
remainder. Always
start with 1 as
divisor.
1 X 12
If the factors meet or if there are
When to stop?
no more factors in between.
Factors
Method in Getting the Factors of a Number
Going up
Going down
Divisor
Quotient
20 = 1, 2, 4, 5, 10, 20
4X5
2 X 10
Think of a number
that can exactly
divide 20 without
remainder. Always
start with 1 as
divisor.
1 X 20
If the factors meet or if there are
When to stop?
no more factors in between.
Factors
Method in Getting the Factors of a Number
Going up
Going down
Divisor
Quotient
66 = 1, 2, 3, 6, 11, 22, 33, 66
Think of a number
that can exactly
divide 66 without
remainder. Always
start with 1 as
divisor.
6 X 11
3 X 22
2 X 33
1 X 66
If the factors meet or if there are
When to stop?
no more factors in between.