Question

write all the factors of 35. use commas to separate them.

Explanation:

Step1: Recall factor definition

A factor of a number is an integer that divides the number without leaving a remainder.

Step2: Find pairs of factors

Start with 1: \( 35 \div 1 = 35 \), so 1 and 35 are factors.
Next, 2: \( 35 \div 2 = 17.5 \), not an integer, so 2 is not a factor.
Then, 3: \( 35 \div 3 \approx 11.67 \), not an integer, so 3 is not a factor.
Next, 4: \( 35 \div 4 = 8.75 \), not an integer, so 4 is not a factor.
Then, 5: \( 35 \div 5 = 7 \), so 5 and 7 are factors.
Check 6: \( 35 \div 6 \approx 5.83 \), not an integer, so 6 is not a factor.
After 7, we've already found 7 as a factor from the pair with 5, and numbers greater than 7 up to 35 will repeat the pairs (e.g., 35 and 1).

Step3: List all factors

From the above, the factors of 35 are 1, 5, 7, 35.

Answer:

1, 5, 7, 35