Q: What are the factor combinations of the number 7,872,371?

 A:
Positive:   1 x 787237113 x 60556723 x 342277113 x 69667233 x 33787299 x 263291469 x 53592599 x 3029
Negative: -1 x -7872371-13 x -605567-23 x -342277-113 x -69667-233 x -33787-299 x -26329-1469 x -5359-2599 x -3029


How do I find the factor combinations of the number 7,872,371?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 7,872,371, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 7,872,371
-1 -7,872,371

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,872,371.

Example:
1 x 7,872,371 = 7,872,371
and
-1 x -7,872,371 = 7,872,371
Notice both answers equal 7,872,371

With that explanation out of the way, let's continue. Next, we take the number 7,872,371 and divide it by 2:

7,872,371 ÷ 2 = 3,936,185.5

If the quotient is a whole number, then 2 and 3,936,185.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,872,371
-1 -7,872,371

Now, we try dividing 7,872,371 by 3:

7,872,371 ÷ 3 = 2,624,123.6667

If the quotient is a whole number, then 3 and 2,624,123.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,872,371
-1 -7,872,371

Let's try dividing by 4:

7,872,371 ÷ 4 = 1,968,092.75

If the quotient is a whole number, then 4 and 1,968,092.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,872,371
-1 7,872,371
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

113231132332991,4692,5993,0295,35926,32933,78769,667342,277605,5677,872,371
-1-13-23-113-233-299-1,469-2,599-3,029-5,359-26,329-33,787-69,667-342,277-605,567-7,872,371

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