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To find the factors of a number easily, here’s a simple method:

  1. **Start with 1 and the number itself**: Every number is divisible by 1 and itself. So, the first two factors are always 1 and the number.

  2. **Divide the number by increasing integers**: Begin dividing the number by 2, then 3, 4, and so on. For each division, if the result is a whole number (no remainder), then the divisor is a factor of the number.

  3. **Stop at the square root**: You don’t need to go beyond the square root of the number. For example, to find factors of 36, you only need to check up to 6 (because the square root of 36 is 6). If you find a divisor (e.g., 2), its pair (e.g., 18) is also a factor.

Example: Find the factors of 36

  • Start with 1 and 36.

  • 36 ÷ 2 = 18, so 2 and 18 are factors.

  • 36 ÷ 3 = 12, so 3 and 12 are factors.

  • 36 ÷ 4 = 9, so 4 and 9 are factors.

  • 36 ÷ 6 = 6, so 6 is a factor (pairs with itself).

So, the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

This method works for any number!

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