Divisors of 702

Divisors of a number are the integers that can be divided evenly into that number, producing no remainder. In simpler terms, if you can divide a number by another number and get a whole number as the result, then that second number is a divisor of the first number. Understanding divisors can help in various areas of mathematics, including simplifying fractions, finding common factors, and understanding prime numbers. In this article, we will explore the divisors of the number 702.

To understand divisors better, we need to look at the concept of division. When we divide one number by another, we have three important terms:

• Dividend: This is the number we want to divide. In our case, it is 702.
• Divisor: This is the number we are dividing by. It can be any integer from 1 up to the dividend.
• Quotient: This is the result we get after dividing the dividend by the divisor.

For example, if we take the equation 702 / 1 = 702:

• Here, 702 is the dividend,
• 1 is the divisor, and
• 702 is the quotient.

Now, let’s find the divisors of 702 by dividing the number 702 by every integer starting from 1 up to 702 itself.

Step-by-Step Guide to Calculate Divisors of 702

1. Start with the first integer, which is 1.
2. Divide 702 by the integer to see if the result is a whole number.
3. If it is a whole number, then the integer is a divisor of 702.
4. Repeat the process for each integer up to 702.

Now, let’s go through the calculations:

1. 702 / 1 = 702 (whole number)
2. 702 / 2 = 351 (whole number)
3. 702 / 3 = 234 (whole number)
4. 702 / 4 = 175.5 (not a whole number)
5. 702 / 5 = 140.4 (not a whole number)
6. 702 / 6 = 117 (whole number)
7. 702 / 7 = 100.2857 (not a whole number)
8. 702 / 8 = 87.75 (not a whole number)
9. 702 / 9 = 78 (whole number)
10. 702 / 10 = 70.2 (not a whole number)

Continuing this process, you would find more divisors, but for simplicity, we’ll focus on the first 10 examples.

The divisors thus far yield the following whole number results:

• 1, 2, 3, 6, and 9 are divisors since these resulted in whole numbers.

Now, let’s conclude by listing all the divisors of 702. After completing the division for all integers up to 702, the full list of divisors is:

Divisors of 702:
1, 2, 3, 6, 9, 78, 117, 234, 351, 702

In summary, the divisors of 702 are the numbers that can divide it without leaving a remainder, and they are 1, 2, 3, 6, 9, 78, 117, 234, 351, and 702.