Q: What are the factor combinations of the number 163,648,055?

 A:
Positive:   1 x 1636480555 x 3272961161 x 2682755305 x 536551331 x 4944051621 x 1009551655 x 988818105 x 20191
Negative: -1 x -163648055-5 x -32729611-61 x -2682755-305 x -536551-331 x -494405-1621 x -100955-1655 x -98881-8105 x -20191


How do I find the factor combinations of the number 163,648,055?

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 163,648,055, 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.

1 163,648,055
-1 -163,648,055

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 163,648,055.

Example:
1 x 163,648,055 = 163,648,055
and
-1 x -163,648,055 = 163,648,055
Notice both answers equal 163,648,055

With that explanation out of the way, let's continue. Next, we take the number 163,648,055 and divide it by 2:

163,648,055 ÷ 2 = 81,824,027.5

If the quotient is a whole number, then 2 and 81,824,027.5 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:

1 163,648,055
-1 -163,648,055

Now, we try dividing 163,648,055 by 3:

163,648,055 ÷ 3 = 54,549,351.6667

If the quotient is a whole number, then 3 and 54,549,351.6667 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:

1 163,648,055
-1 -163,648,055

Let's try dividing by 4:

163,648,055 ÷ 4 = 40,912,013.75

If the quotient is a whole number, then 4 and 40,912,013.75 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:

1 163,648,055
-1 163,648,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15613053311,6211,6558,10520,19198,881100,955494,405536,5512,682,75532,729,611163,648,055
-1-5-61-305-331-1,621-1,655-8,105-20,191-98,881-100,955-494,405-536,551-2,682,755-32,729,611-163,648,055

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