Q: What are the factor combinations of the number 16,231,445?

 A:
Positive:   1 x 162314455 x 324628923 x 70571529 x 55970531 x 523595115 x 141143145 x 111941155 x 104719157 x 103385667 x 24335713 x 22765785 x 20677899 x 180553335 x 48673565 x 45533611 x 4495
Negative: -1 x -16231445-5 x -3246289-23 x -705715-29 x -559705-31 x -523595-115 x -141143-145 x -111941-155 x -104719-157 x -103385-667 x -24335-713 x -22765-785 x -20677-899 x -18055-3335 x -4867-3565 x -4553-3611 x -4495


How do I find the factor combinations of the number 16,231,445?

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 16,231,445, 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 16,231,445
-1 -16,231,445

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 16,231,445.

Example:
1 x 16,231,445 = 16,231,445
and
-1 x -16,231,445 = 16,231,445
Notice both answers equal 16,231,445

With that explanation out of the way, let's continue. Next, we take the number 16,231,445 and divide it by 2:

16,231,445 ÷ 2 = 8,115,722.5

If the quotient is a whole number, then 2 and 8,115,722.5 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 16,231,445
-1 -16,231,445

Now, we try dividing 16,231,445 by 3:

16,231,445 ÷ 3 = 5,410,481.6667

If the quotient is a whole number, then 3 and 5,410,481.6667 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 16,231,445
-1 -16,231,445

Let's try dividing by 4:

16,231,445 ÷ 4 = 4,057,861.25

If the quotient is a whole number, then 4 and 4,057,861.25 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 16,231,445
-1 16,231,445
Keep dividing by the next highest number until you cannot divide anymore.

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

152329311151451551576677137858993,3353,5653,6114,4954,5534,86718,05520,67722,76524,335103,385104,719111,941141,143523,595559,705705,7153,246,28916,231,445
-1-5-23-29-31-115-145-155-157-667-713-785-899-3,335-3,565-3,611-4,495-4,553-4,867-18,055-20,677-22,765-24,335-103,385-104,719-111,941-141,143-523,595-559,705-705,715-3,246,289-16,231,445

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