What are factors of 75 ? Step by step Solution

How to find Factors of 75, Step by step Solution

To find the factors of 75, we need to identify all the numbers that divide evenly into 75. Here’s the step-by-step solution:

Steps To faind factors of 75

Step 1: Start with the number 1.
75 ÷ 1 = 75

So, 1 is a factor of 75.

Step 2: Divide 75 by 2.
75 ÷ 2 = 37.5

Since 37.5 is not a whole number, 2 is not a factor of 75.

Step 3: Divide 75 by 3.
75 ÷ 3 = 25

So, 3 is a factor of 75.

Step 4: Divide 75 by 4.
75 ÷ 4 = 18.75

Since 18.75 is not a whole number, 4 is not a factor of 75.

Step 5: Divide 75 by 5.
75 ÷ 5 = 15

So, 5 is a factor of 75.

Step 6: Divide 75 by 6.
75 ÷ 6 = 12.5

Since 12.5 is not a whole number, 6 is not a factor of 75.

Step 7: Divide 75 by 7.
75 ÷ 7 = 10.71

Since 10.71 is not a whole number, 7 is not a factor of 75.

Step 8: Divide 75 by 8.
75 ÷ 8 = 9.375

Since 9.375 is not a whole number, 8 is not a factor of 75.

Step 9: Divide 75 by 9.
75 ÷ 9 = 8.33

Since 8.33 is not a whole number, 9 is not a factor of 75.

Step 10: Divide 75 by 10.
75 ÷ 10 = 7.5

Since 7.5 is not a whole number, 10 is not a factor of 75.

Step 11: Divide 75 by 11.
75 ÷ 11 = 6.82

Since 6.82 is not a whole number, 11 is not a factor of 75.

Step 12: Divide 75 by 12.
75 ÷ 12 = 6.25

Since 6.25 is not a whole number, 12 is not a factor of 75.

Step 13: Divide 75 by 13.
75 ÷ 13 = 5.77

Since 5.77 is not a whole number, 13 is not a factor of 75.

Step 14: Divide 75 by 14.
75 ÷ 14 = 5.36

Since 5.36 is not a whole number, 14 is not a factor of 75.

Step 15: Divide 75 by 15.
75 ÷ 15 = 5

So, 15 is a factor of 75.

Step 16: Divide 75 by 16.
75 ÷ 16 = 4.69

Since 4.69 is not a whole number, 16 is not a factor of 75.

Step 17: Divide 75 by 17.
75 ÷ 17 = 4.41

Since 4.41 is not a whole number, 17 is not a factor of 75.

Step 18: Divide 75 by 18.
75 ÷ 18 = 4.17

Since 4.17 is not a whole number, 18 is not a factor of 75.

Step 19: Divide 75 by 19.
75 ÷ 19 = 3.95

Since 3.95 is not a whole number, 19 is not a factor of 75.

Step 20: Divide 75 by 20.
75 ÷ 20 = 3.75

Since 3.75 is not a whole number, 20 is not a factor of 75.

Step 21: Divide 75 by 21.
75 ÷ 21 = 3.57

Since 3.57 is not a whole number, 21 is not a factor of 75.

Step 22: Divide 75 by 22.
75 ÷ 22 = 3.41

Since 3.41 is not a whole number, 22 is not a factor of 75.

Step 23: Divide 75 by 23.
75 ÷ 23 = 3.26

Since 3.26 is not a whole number, 23 is not a factor of 75.

Step 24: Divide 75 by 24.
75 ÷ 24 = 3.125

Since 3.125 is not a whole number, 24 is not a factor of 75.

Step 25: Divide 75 by 25.
75 ÷ 25 = 3

So, 25 is a factor of 75.

Step 26: Divide 75 by 26.
75 ÷ 26 = 2.88

Since 2.88 is not a whole number, 26 is not a factor of 75.

Step 27: Divide 75 by 27.
75 ÷ 27 = 2.77

Since 2.77 is not a whole number, 27 is not a factor of 75.

Step 28: Divide 75 by 28.
75 ÷ 28 = 2.68

Since 2.68 is not a whole number, 28 is not a factor of 75.

Step 29: Divide 75 by 29.
75 ÷ 29 = 2.59

Since 2.59 is not a whole number, 29 is not a factor of 75.

Step 30: Divide 75 by 30.
75 ÷ 30 = 2.5

Since 2.5 is not a whole number, 30 is not a factor of 75.

Result of Factors of 75

Therefore, the factors of 75 are: 1, 3, 5, 15, 25.