1. Divisors , factors and Multiples

2. Divisors
All the numbers which divide a given number leaving 0 as remainder are called divisors of the number.
For example, the number 24 has several divisors.
24 = 1 x 24
24 = 2 x 12
24 = 3 x 8
24 = 4 x 6
SO, the divisors are 1, 2, 3, 4, 6, 8, 12, 24

3. Finding Divisors Start with 1 x the number. Try 2, 3, 4, etc.
When you repeat your divisors, cross out the repeat - you’re done at this point.
If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.

4. What are the divisors of 16?
1 x 16
2 x 8
3 x ??
3 is not a divisor, so cross it out
4 x 4
doubles = done
The divisors of 16 are 1,2,4,8,16

5. What are the divisors of 18?
1 x 18
The factors are 1,2,3,6,9,18
2 x 9
3 x 6
4 x ??
5 x ??
6 x 3
Repeat! Cross it out! We’re done!

6. Factors
The divisors of number other than 1 and itself are called factors of a number.
For example, the num 30 has several factors.
30 = 1 x 30
30 = 2 x 15
30 = 3 x 10
30 = 5 x 6
SO, the factors are 2, 3, 5, 6, 10, 15
For factor we are not including 1 and the number itself

7. What are the factors of 28? 1 x 28 2 x 14 4 x 7 5 x ?? 6 x ?? 7 x 4
For factor we are not including 1 and the number itself
2 x 14
4 x 7
5 x ??
6 x ??
7 x 4
Repeat! Cross it out! We’re done!
The factors of 28 are 2,4,7,14

8. Difference between divisor and factor
Factor just like divisor include all numbers which divide a given number except number 1 and itself.
Example1 Divisors of 10 is 1 , 2 , 5 , 10
Therefore factors of 10 is 1 , 2 , 5 , 10
All divisor except number 1 and 10
Example2 Divisors of 12 is 1 , 2 , 3 , 4 , 6 , 12
Therefore factors of 12 is 1 , 2 , 3 , 4 , 6 , 12
All divisor except number 1 and 12

9. Multiples
A multiple is formed by multiplying a given number by the counting numbers.
The counting numbers are 1, 2, 3, 4, 5, 6, etc.

10. Example: List the multiples of 4:
So, the multiples of 4 are 4, 8, 12, 16, 20, 24, 28, etc.
Counting Numbers

11. What are the first five multiples of 13?
13 x 1 =13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
13 x 5 = 65
13, 26, 39, 52, 65

12. Find the Missing Multiples24 30
6, 12, 18, ____, ____
___, 6, 9, 12, ____, ____, 21
___, 24, 36, 48, 60, ____ 15 18 3 72 12

13. Try these Find the divisors of number 15 Find factors of number 24
Find 5 multiples of number 5 above 100