Q: What are the factor combinations of the number 9,688,627?

 A:
Positive:   1 x 968862713 x 74527947 x 206141101 x 95927157 x 61711611 x 158571313 x 73792041 x 4747
Negative: -1 x -9688627-13 x -745279-47 x -206141-101 x -95927-157 x -61711-611 x -15857-1313 x -7379-2041 x -4747


How do I find the factor combinations of the number 9,688,627?

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 9,688,627, 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 9,688,627
-1 -9,688,627

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 9,688,627.

Example:
1 x 9,688,627 = 9,688,627
and
-1 x -9,688,627 = 9,688,627
Notice both answers equal 9,688,627

With that explanation out of the way, let's continue. Next, we take the number 9,688,627 and divide it by 2:

9,688,627 ÷ 2 = 4,844,313.5

If the quotient is a whole number, then 2 and 4,844,313.5 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 9,688,627
-1 -9,688,627

Now, we try dividing 9,688,627 by 3:

9,688,627 ÷ 3 = 3,229,542.3333

If the quotient is a whole number, then 3 and 3,229,542.3333 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 9,688,627
-1 -9,688,627

Let's try dividing by 4:

9,688,627 ÷ 4 = 2,422,156.75

If the quotient is a whole number, then 4 and 2,422,156.75 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 9,688,627
-1 9,688,627
Keep dividing by the next highest number until you cannot divide anymore.

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

113471011576111,3132,0414,7477,37915,85761,71195,927206,141745,2799,688,627
-1-13-47-101-157-611-1,313-2,041-4,747-7,379-15,857-61,711-95,927-206,141-745,279-9,688,627

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