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Animal Jumps
Page 2
Animal Jumps
Factors and Multiples
What is a factor?
A number that divides another number completely
without leaving a remainder.
Example 1:
Find the factors of 20.
Solution:
The factors of 20 are 1, 2, 4, 5, 10 and 20.
Because the number 20 is exactly divisible by
these numbers leaving the remainder zero.
What is a multiple?
The product of a number and any other whole
number.
Example 2:
Find the multiples of 20.
Solution:
The multiples of 20 are 20, 40, 60, 80, 100, 120, &
Because
20 × 1 = 20
20 ×2 = 40,
20 ×3 = 60
20 ×4 = 80
20 ×5 = 100, and so on
Remember: The product of two or more factors gives a multiple.
Page 3
Animal Jumps
Factors and Multiples
What is a factor?
A number that divides another number completely
without leaving a remainder.
Example 1:
Find the factors of 20.
Solution:
The factors of 20 are 1, 2, 4, 5, 10 and 20.
Because the number 20 is exactly divisible by
these numbers leaving the remainder zero.
What is a multiple?
The product of a number and any other whole
number.
Example 2:
Find the multiples of 20.
Solution:
The multiples of 20 are 20, 40, 60, 80, 100, 120, &
Because
20 × 1 = 20
20 ×2 = 40,
20 ×3 = 60
20 ×4 = 80
20 ×5 = 100, and so on
Remember: The product of two or more factors gives a multiple.
Common Factors
When two or more numbers share the same factor, that factor is called a common factor.
Example:
Find common factors of 30 and 42.
Common factors are the numbers that appear in both lists: 1, 2, 3, and 6.
Page 4
Animal Jumps
Factors and Multiples
What is a factor?
A number that divides another number completely
without leaving a remainder.
Example 1:
Find the factors of 20.
Solution:
The factors of 20 are 1, 2, 4, 5, 10 and 20.
Because the number 20 is exactly divisible by
these numbers leaving the remainder zero.
What is a multiple?
The product of a number and any other whole
number.
Example 2:
Find the multiples of 20.
Solution:
The multiples of 20 are 20, 40, 60, 80, 100, 120, &
Because
20 × 1 = 20
20 ×2 = 40,
20 ×3 = 60
20 ×4 = 80
20 ×5 = 100, and so on
Remember: The product of two or more factors gives a multiple.
Common Factors
When two or more numbers share the same factor, that factor is called a common factor.
Example:
Find common factors of 30 and 42.
Common factors are the numbers that appear in both lists: 1, 2, 3, and 6.
How to Identify Factors (Pairs)
A factor pair of a number is two numbers that multiply together to give that number.
E x a m p l e, for 12:
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
So, the factors are 1, 2, 3, 4, 6, and 12.
Arrays (rows × columns) also show factor pairs.
Page 5
Animal Jumps
Factors and Multiples
What is a factor?
A number that divides another number completely
without leaving a remainder.
Example 1:
Find the factors of 20.
Solution:
The factors of 20 are 1, 2, 4, 5, 10 and 20.
Because the number 20 is exactly divisible by
these numbers leaving the remainder zero.
What is a multiple?
The product of a number and any other whole
number.
Example 2:
Find the multiples of 20.
Solution:
The multiples of 20 are 20, 40, 60, 80, 100, 120, &
Because
20 × 1 = 20
20 ×2 = 40,
20 ×3 = 60
20 ×4 = 80
20 ×5 = 100, and so on
Remember: The product of two or more factors gives a multiple.
Common Factors
When two or more numbers share the same factor, that factor is called a common factor.
Example:
Find common factors of 30 and 42.
Common factors are the numbers that appear in both lists: 1, 2, 3, and 6.
How to Identify Factors (Pairs)
A factor pair of a number is two numbers that multiply together to give that number.
E x a m p l e, for 12:
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
So, the factors are 1, 2, 3, 4, 6, and 12.
Arrays (rows × columns) also show factor pairs.
Factors using Arrays
One way to find the factors of a number is by arranging objects into arrays - rows and columns. Each
arrangement shows a pair of factors that multiply to make the number.
Here, we see the number 15 can be arranged
as 3 rows of 5. This tells us 3 × 5 = 15, so 3 and
5 are factors of 15.
This can be seen in the following figure:
Similarly, the number 12 can
be arranged as 3 × 4, 2 × 6,
and 1 × 12. This tells us its
factors are 1, 2, 3, 4, 6, and
12.
This can be seen in the
following figure:
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