The problem asks us to list the factors of the number 30. A factor of a number is an integer that divides the number evenly (without a remainder).

Number TheoryFactorsDivisibilityInteger Properties
2025/5/7

1. Problem Description

The problem asks us to list the factors of the number
3

0. A factor of a number is an integer that divides the number evenly (without a remainder).

2. Solution Steps

To find the factors of 30, we can look for pairs of numbers that multiply to
3
0.
Start with 1: 1×30=301 \times 30 = 30, so 1 and 30 are factors.
Next, try 2: 2×15=302 \times 15 = 30, so 2 and 15 are factors.
Next, try 3: 3×10=303 \times 10 = 30, so 3 and 10 are factors.
Next, try 4: 30 divided by 4 is 7.5, which is not an integer, so 4 is not a factor.
Next, try 5: 5×6=305 \times 6 = 30, so 5 and 6 are factors.
We have now reached 6, which we already identified as a factor. This means we have found all the factors.

3. Final Answer

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

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