Q: What are the factor combinations of the number 163,006,463?

 A:
Positive:   1 x 16300646331 x 525827397 x 1680479151 x 1079513359 x 4540573007 x 542094681 x 3482311129 x 14647
Negative: -1 x -163006463-31 x -5258273-97 x -1680479-151 x -1079513-359 x -454057-3007 x -54209-4681 x -34823-11129 x -14647


How do I find the factor combinations of the number 163,006,463?

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 163,006,463, 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.

1 163,006,463
-1 -163,006,463

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 163,006,463.

Example:
1 x 163,006,463 = 163,006,463
and
-1 x -163,006,463 = 163,006,463
Notice both answers equal 163,006,463

With that explanation out of the way, let's continue. Next, we take the number 163,006,463 and divide it by 2:

163,006,463 ÷ 2 = 81,503,231.5

If the quotient is a whole number, then 2 and 81,503,231.5 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:

1 163,006,463
-1 -163,006,463

Now, we try dividing 163,006,463 by 3:

163,006,463 ÷ 3 = 54,335,487.6667

If the quotient is a whole number, then 3 and 54,335,487.6667 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:

1 163,006,463
-1 -163,006,463

Let's try dividing by 4:

163,006,463 ÷ 4 = 40,751,615.75

If the quotient is a whole number, then 4 and 40,751,615.75 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:

1 163,006,463
-1 163,006,463
Keep dividing by the next highest number until you cannot divide anymore.

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

131971513593,0074,68111,12914,64734,82354,209454,0571,079,5131,680,4795,258,273163,006,463
-1-31-97-151-359-3,007-4,681-11,129-14,647-34,823-54,209-454,057-1,079,513-1,680,479-5,258,273-163,006,463

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