Divisors of 124

Divisors of a number are the numbers that can evenly divide that number without leaving any remainder. For example, if a number can be divided by another number with a result that is a whole number (an integer), the second number is called a divisor. Understanding divisors is crucial in mathematics for various applications, including simplifying fractions, finding common factors, and number theory.

To grasp the concept of divisors, we first need to understand division. In division, we have three important terms:

• Dividend: The number we want to divide.
• Divisor: The number by which we divide the dividend.
• Quotient: The result of the division.

In a division example, if we take the number 124 and we want to divide it by 4, we would say:

124 (dividend) / 4 (divisor) = 31 (quotient).

This means that when we divide 124 by 4, we get 31 as a whole number, which indicates that 4 is a divisor of 124.

Now, let’s see how to find all the divisors of the number 124 by checking all numbers from 1 up to 124. We do this by dividing 124 by each integer and seeing if the result is a whole number.

1. Start with 1:
   124 / 1 = 124 (whole number)

2. Next, try 2:
   124 / 2 = 62 (whole number)

3. Try 3:
   124 / 3 = 41.33 (not a whole number)

4. Try 4:
   124 / 4 = 31 (whole number)

5. Try 5:
   124 / 5 = 24.8 (not a whole number)

6. Try 6:
   124 / 6 = 20.67 (not a whole number)

7. Try 7:
   124 / 7 = 17.71 (not a whole number)

8. Try 8:
   124 / 8 = 15.5 (not a whole number)

9. Try 9:
   124 / 9 = 13.78 (not a whole number)

10. Try 10:
    124 / 10 = 12.4 (not a whole number)

Continuing this process until we reach 124, we only list whole number results. Here are the divisors we’ve found:

1. 1: 124 / 1 = 124
2. 2: 124 / 2 = 62
3. 4: 124 / 4 = 31
4. 31: 124 / 31 = 4
5. 62: 124 / 62 = 2
6. 124: 124 / 124 = 1

Thus, after going through all integers from 1 to 124, we conclude that the complete list of divisors of 124 is:

• 1
• 2
• 4
• 31
• 62
• 124

In summary, the divisors of the number 124 are 1, 2, 4, 31, 62, and 124. Understanding divisors helps us better comprehend how numbers relate to each other, and it’s a fundamental part of many mathematical concepts.