If `7 xx 5= 35 and 35 xx 3= 105`, then state True or False for the following statements
5 is a factor of 105

Answer

To determine whether 5 is a factor of 105, we can follow these steps:

### Step 1: Understand the definition of a factor
A number \( a \) is a factor of another number \( b \) if \( b \) can be divided by \( a \) without leaving a remainder.

### Step 2: Check if 105 is divisible by 5
To check if 5 is a factor of 105, we can perform the division of 105 by 5.

\[ 105 \div 5 = 21 \]

### Step 3: Analyze the result
Since the result of the division is 21 and there is no remainder, we can conclude that 105 is divisible by 5.

### Step 4: State the conclusion
Since 105 can be divided by 5 without leaving a remainder, we can say that 5 is indeed a factor of 105.

### Final Answer
**True**: 5 is a factor of 105.

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