Divisors of 673

When we talk about the divisors of a number, we’re referring to the integers that can be multiplied together to produce that number. Understanding divisors is important because they help us in many areas of mathematics, such as factoring, finding common factors, and solving problems. In this article, we will explore the divisors of 673, step by step, to help you understand how to find them.

To start, let’s briefly explain the concept of division. When we divide one number by another, we’re often looking to see how many times one number can fit into another. In division, we have three key terms:

• Dividend: This is the number we want to divide.
• Divisor: This is the number we are dividing by.
• Quotient: This is the result we get from the division.

For example, let’s look at the division of 673 by 1:

673 / 1 = 673

In this example, 673 is the dividend, 1 is the divisor, and the quotient is 673.

Now, let’s guide you on how to calculate the divisors of 673. We will divide 673 by every integer from 1 up to itself (which is 673) and check if the division results in a whole number. A whole number means that there is no remainder when we divide.

1. Start with the number 1 and go up to 673.
2. For each integer (let’s call it n), divide 673 by n.
3. If the result is a whole number (meaning there’s no remainder), then n is a divisor of 673.

Let’s do this step-by-step:

• 673 / 1 = 673 (Whole number, so 1 is a divisor)
• 673 / 2 = 336.5 (Not a whole number, so 2 is not a divisor)
• 673 / 3 = 224.33 (Not a whole number, so 3 is not a divisor)
• 673 / 4 = 168.25 (Not a whole number, so 4 is not a divisor)
• 673 / 5 = 134.6 (Not a whole number, so 5 is not a divisor)
• 673 / 6 = 112.17 (Not a whole number, so 6 is not a divisor)
• 673 / 7 = 96.14 (Not a whole number, so 7 is not a divisor)
• 673 / 8 = 84.125 (Not a whole number, so 8 is not a divisor)
• 673 / 9 = 74.78 (Not a whole number, so 9 is not a divisor)
• 673 / 10 = 67.3 (Not a whole number, so 10 is not a divisor)
• Continue this process up to 673.

As we continue to divide, we will eventually find that:

• 673 / 673 = 1 (Whole number, so 673 is a divisor)

After going through the numbers, we find that the only divisors of 673 are 1 and 673.

To summarize, the complete list of divisors of 673 is:

Divisors of 673: 1, 673

This simple approach can be applied to any number when trying to find its divisors! Remember, always divide by each integer up to the number itself and check if the result is a whole number to find the divisors.