Math Skill: Factoring
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Factoring

Factoring a number is when we find all the whole numbers that can be divided evenly into that number.

For example,

 15 ÷ 3 = 5 3 and 5 are factors of 15 15 ÷ 6 = 2.5 6 is NOT a factor of 15 because 6 does not divide evenly into 15
```Here are some divisibility rules that should help:
Divisibility by 2: If the number ends in 0,2,4,6, or 8, it is divisible by 2.
Divisibility by 3: If the sum of the digits is divisible by 3, the number is divisible by 3.
Example: 27 is divisible by 3 because 2 + 7 = 9, which is divisible by 3.
Divisibility by 4: If the last two digits are divisible by 4.
Divisibility by 5: If the number ends in 0 or 5, it is divisible by 5.
Divisibility by 6: If the number is divisible by 2 and 3.
Divisibility by 9: If the sum of the digits is divisible by 9.
Divisibility by 10: If the last digit is 0.
```

Examples:

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".

12
25
28
31

### Complexity=8

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   4 2.   8

### Complexity=12

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   4 2.   8

### Complexity=20

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   14 2.   10

### Complexity=30

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   27 2.   17

### Complexity=40

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   21 2.   22

### Complexity=50

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   36 2.   41

### Complexity=80

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   42 2.   52

### Complexity=150

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
 1.   90 2.   109

### Complexity=8

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
14
28

### Complexity=12

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
14
28

### Complexity=20

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
114
210

### Complexity=30

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
127
217

### Complexity=40

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
121
222

### Complexity=50

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.
136
241

### Complexity=80

Find all the factors of each number in increasing order. Example: The factors of 10 are "1 2 5 10".
Make sure you add a space between each number.