Q: What are the factor combinations of the number 7,731,163?

 A:
Positive:   1 x 773116311 x 70283353 x 14587189 x 86867149 x 51887583 x 13261979 x 78971639 x 4717
Negative: -1 x -7731163-11 x -702833-53 x -145871-89 x -86867-149 x -51887-583 x -13261-979 x -7897-1639 x -4717


How do I find the factor combinations of the number 7,731,163?

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 7,731,163, 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 7,731,163
-1 -7,731,163

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 7,731,163.

Example:
1 x 7,731,163 = 7,731,163
and
-1 x -7,731,163 = 7,731,163
Notice both answers equal 7,731,163

With that explanation out of the way, let's continue. Next, we take the number 7,731,163 and divide it by 2:

7,731,163 ÷ 2 = 3,865,581.5

If the quotient is a whole number, then 2 and 3,865,581.5 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 7,731,163
-1 -7,731,163

Now, we try dividing 7,731,163 by 3:

7,731,163 ÷ 3 = 2,577,054.3333

If the quotient is a whole number, then 3 and 2,577,054.3333 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 7,731,163
-1 -7,731,163

Let's try dividing by 4:

7,731,163 ÷ 4 = 1,932,790.75

If the quotient is a whole number, then 4 and 1,932,790.75 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 7,731,163
-1 7,731,163
Keep dividing by the next highest number until you cannot divide anymore.

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

11153891495839791,6394,7177,89713,26151,88786,867145,871702,8337,731,163
-1-11-53-89-149-583-979-1,639-4,717-7,897-13,261-51,887-86,867-145,871-702,833-7,731,163

More Examples

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