Q: What are the factor combinations of the number 16,164,449?

 A:
Positive:   1 x 161644497 x 230920737 x 436877139 x 116291259 x 62411449 x 36001973 x 166133143 x 5143
Negative: -1 x -16164449-7 x -2309207-37 x -436877-139 x -116291-259 x -62411-449 x -36001-973 x -16613-3143 x -5143


How do I find the factor combinations of the number 16,164,449?

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 16,164,449, 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 16,164,449
-1 -16,164,449

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 16,164,449.

Example:
1 x 16,164,449 = 16,164,449
and
-1 x -16,164,449 = 16,164,449
Notice both answers equal 16,164,449

With that explanation out of the way, let's continue. Next, we take the number 16,164,449 and divide it by 2:

16,164,449 ÷ 2 = 8,082,224.5

If the quotient is a whole number, then 2 and 8,082,224.5 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 16,164,449
-1 -16,164,449

Now, we try dividing 16,164,449 by 3:

16,164,449 ÷ 3 = 5,388,149.6667

If the quotient is a whole number, then 3 and 5,388,149.6667 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 16,164,449
-1 -16,164,449

Let's try dividing by 4:

16,164,449 ÷ 4 = 4,041,112.25

If the quotient is a whole number, then 4 and 4,041,112.25 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 16,164,449
-1 16,164,449
Keep dividing by the next highest number until you cannot divide anymore.

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

17371392594499733,1435,14316,61336,00162,411116,291436,8772,309,20716,164,449
-1-7-37-139-259-449-973-3,143-5,143-16,613-36,001-62,411-116,291-436,877-2,309,207-16,164,449

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