Question

write all the factors of 26. 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: Test numbers from 1

• \(26 \div 1 = 26\), so 1 and 26 are factors.
• \(26 \div 2 = 13\), so 2 and 13 are factors.
• \(26 \div 3\) gives remainder 2, not a factor.
• \(26 \div 4\) gives remainder 2, not a factor.
• \(26 \div 5\) gives remainder 1, not a factor.
• \(26 \div 6\) gives remainder 2, not a factor.
• \(26 \div 7\) gives remainder 5, not a factor.
• \(26 \div 8\) gives remainder 2, not a factor.
• \(26 \div 9\) gives remainder 8, not a factor.
• \(26 \div 10\) gives remainder 6, not a factor.
• \(26 \div 11\) gives remainder 4, not a factor.
• \(26 \div 12\) gives remainder 2, not a factor.
• \(26 \div 13 = 2\), already considered.
• Numbers greater than 13 will have quotients less than 2, already checked.

Answer:

1, 2, 13, 26