factors of 132
The factors of 132 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132.
To find the factors of 132, you need to determine all the numbers that divide evenly into 132 without leaving a remainder.
One way to find the factors of a number is to list all the numbers from 1 up to the square root of the number, and then check if each of those numbers divide evenly into the given number.
The square root of 132 is approximately 11.49 (rounded to two decimal places). So you can start by checking all the numbers from 1 to 11.
Let's go through the process:
1. Divide 132 by 1. Since there is no remainder, 1 is a factor of 132.
2. Divide 132 by 2. Again, there is no remainder, so 2 is a factor of 132.
3. Divide 132 by 3. No remainder, so 3 is also a factor.
4. 132 divided by 4 is 33, which leaves no remainder, so 4 is a factor.
5. 132 divided by 5 is 26.4, which is not a whole number. So 5 is not a factor.
6. 132 divided by 6 is 22, which has no remainder, making 6 a factor.
7. 132 divided by 7 is 18.86, not a whole number. Not a factor.
8. 132 divided by 8 is 16.5, not a whole number. Not a factor.
9. 132 divided by 9 is 14.67, not a whole number. Not a factor.
10. 132 divided by 10 is 13.2, not a whole number. Not a factor.
11. 132 divided by 11 is exactly 12, making 11 a factor.
So the factors of 132 are: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132.
To find the factors of 132, we need to determine the numbers that divide 132 evenly without a remainder. Here are the step-by-step calculations to find the factors:
1. Begin with the number 1.
2. Divide 132 by 1: 132 ÷ 1 = 132. Remainder = 0. So, 1 is a factor of 132.
3. Increase the divisor to 2.
4. Divide 132 by 2: 132 ÷ 2 = 66. Remainder = 0. So, 2 is also a factor of 132.
5. Increase the divisor to 3.
6. Divide 132 by 3: 132 ÷ 3 = 44. Remainder = 0. Therefore, 3 is a factor of 132.
7. Increase the divisor to 4.
8. Divide 132 by 4: 132 ÷ 4 = 33. Remainder = 0. So, 4 is a factor of 132.
9. Increase the divisor to 5.
10. Divide 132 by 5: 132 ÷ 5 = 26.4. But since there is a remainder, 5 is not a factor of 132.
11. Increase the divisor to 6.
12. Divide 132 by 6: 132 ÷ 6 = 22. Remainder = 0. So, 6 is a factor of 132.
13. We can continue this process until we reach the square root of 132 to find all the factors.
Therefore, the factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132.