To find the factors of 90 step by step, we'll break it down logically:

### Step 1: Start with 1 and 90
Since any number is divisible by 1 and itself, 1 and 90 are factors of 90:
- \( 90 \div 1 = 90 \)
- So, the pair \( (1, 90) \) are factors.

### Step 2: Check for divisibility by 2
Since 90 is even, it is divisible by 2:
- \( 90 \div 2 = 45 \)
- So, the pair \( (2, 45) \) are factors.

### Step 3: Check for divisibility by 3
Add the digits of 90 (9 + 0 = 9). Since 9 is divisible by 3, so is 90:
- \( 90 \div 3 = 30 \)
- So, the pair \( (3, 30) \) are factors.

### Step 4: Check for divisibility by 5
Since 90 ends in 0, it is divisible by 5:
- \( 90 \div 5 = 18 \)
- So, the pair \( (5, 18) \) are factors.

### Step 5: Check for divisibility by 6
Since 90 is divisible by both 2 and 3, it is also divisible by 6:
- \( 90 \div 6 = 15 \)
- So, the pair \( (6, 15) \) are factors.

### Step 6: Check for divisibility by 9
Add the digits of 90 (9 + 0 = 9). Since 9 is divisible by 9, so is 90:
- \( 90 \div 9 = 10 \)
- So, the pair \( (9, 10) \) are factors.

### Step 7: List all factors
All factor pairs of 90: \( (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), (9, 10) \).

Hence, the factors of 90 are:  
\[ 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 \]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What are the prime factors of 90?
2. How do you find the greatest common factor (GCF) of two numbers?
3. What are the factors of other multiples of 90?
4. How do you find the least common multiple (LCM) of 90 and another number?
5. How can divisibility rules help in finding factors of a number?

**Tip**: When checking for factors, always start with small prime numbers (2, 3, 5) and work your way up.

Learn how to find the factors of 90 step by step, using divisibility rules and simple calculations. This tutorial covers key number theory concepts such as factors, divisibility by 2, 3, and 5, and how to list all factor pairs. Ideal for students in Grades 4-6.

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