What are the Factors of 27?

Factors of 27

Answer: The factors of 27 are 1, 3, 9, and 27.

Explanation: A factor of a number is an integer that divides the number without leaving a remainder. To find the factors of 27, we look for pairs of integers that multiply to give 27. We can start checking from 1:

1. 1 multiplied by 27 equals 27. So, 1 and 27 are factors.

2. 2 does not divide 27 evenly (27 2 = 13 with a remainder of 1).

3. 3 multiplied by 9 equals 27. So, 3 and 9 are factors.

4. We can continue checking numbers between 3 and 9.

•     4 does not divide 27 evenly (27 4 = 6 with a remainder of 3).
•     5 does not divide 27 evenly (27 5 = 5 with a remainder of 2).
•     6 does not divide 27 evenly (27 6 = 4 with a remainder of 3).
•     7 does not divide 27 evenly (27 7 = 3 with a remainder of 6).
•     8 does not divide 27 evenly (27 8 = 3 with a remainder of 3).

5. Once we reach 9, we've already found its pair (3), so we don't need to check further. The factors usually come in pairs. If a number is a perfect square, one factor is repeated (the square root).

Therefore, the positive integers that divide 27 evenly are 1, 3, 9, and 27.