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 factors of 35

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.
Check 7: Already found from \( 35 \div 5 = 7 \).
Numbers greater than 7 up to 35: We've checked up to 5, and since factors come in pairs, we can stop here as we've found all pairs (1,35), (5,7).

Answer:

1, 5, 7, 35